LCM of 202 and 102

What is the LCM of 202 and 102?


LCM of 202 and 102

is 10302

Formula How to

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What is the Least Common Multiple of 202 and 102? The LCM, or Least Common Multiple, is a mathematical concept that represents the smallest number that is a multiple of two or more numbers. In other words, it's the smallest positive integer that is divisible by all the numbers in a given set.

The LCM is often used in solving problems involving fractions, ratios, and gcd (greatest common divisor). To find the LCM of two or more numbers, you can use various methods such as listing the multiples of each number, finding the prime factorization of each number, and using division algorithms. Once you have the LCM, you can use it to simplify expressions, convert between fractions and decimals, and solve problems involving ratios and proportions.

To find LCM (Least Common Multiple) between two numbers, mainly there are two methods available, Those are-

1. GCF Method: To find the LCM value using GCF method, use the simple formula-

lcm(a,b) =
(a × b)/gcf(a,b)

Where,

  • a = First integer value;
  • b = Second integer value;
  • gcf = Greatest common factor;

2. Prime Factorization Method: Find the prime factors of both number and then multiply of all the highest exponent prime factors value, you will get the LCM value.

For calculation, here's how to calculate LCM of 202 and 102 using those formula above, step by step instructions are given below

GCF Method:

  1. Input the value as per formula.
    lcm(202,102) =
    (202 × 102)/gcf(202,102)
  2. Calculate the numerator part and find the GCF of 202 and 102 in the denominator part.
    lcm(202,102) =
    20604/2
  3. After reduce the fraction, you will get the LCM value. Which is,
    10302

Prime Factorization Method:

  1. Find the prime factors of the first number 202.
    2, 101
  2. Find the prime factors of the second number 102.
    2, 3, 17
  3. Multiply all the highest exponent prime factors is the LCM value. Which is,
    10302

Number LCM GCF
202 & 97 19594 1
202 & 98 9898 2
202 & 99 19998 1
202 & 100 10100 2
202 & 101 202 101
202 & 102 10302 2
202 & 103 20806 1
202 & 104 10504 2
202 & 105 21210 1
202 & 106 10706 2
202 & 107 21614 1

LCM (Least Common Multiple) of 202 and 102 is 10302.

SCM (Smallest Common Multiple) of 202 and 102 is 10302.