LCM of 133 and 208

What is the LCM of 133 and 208?


LCM of 133 and 208

is 27664

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What is the Least Common Multiple of 133 and 208? 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 133 and 208 using those formula above, step by step instructions are given below

GCF Method:

  1. Input the value as per formula.
    lcm(133,208) =
    (133 × 208)/gcf(133,208)
  2. Calculate the numerator part and find the GCF of 133 and 208 in the denominator part.
    lcm(133,208) =
    27664/1
  3. After reduce the fraction, you will get the LCM value. Which is,
    27664

Prime Factorization Method:

  1. Find the prime factors of the first number 133.
    7, 19
  2. Find the prime factors of the second number 208.
    2, 2, 2, 2, 13
  3. Multiply all the highest exponent prime factors is the LCM value. Which is,
    27664

Number LCM GCF
133 & 203 3857 7
133 & 204 27132 1
133 & 205 27265 1
133 & 206 27398 1
133 & 207 27531 1
133 & 208 27664 1
133 & 209 1463 19
133 & 210 3990 7
133 & 211 28063 1
133 & 212 28196 1
133 & 213 28329 1

LCM (Least Common Multiple) of 133 and 208 is 27664.

SCM (Smallest Common Multiple) of 133 and 208 is 27664.