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What is the Least Common Multiple of 11918 and 11938?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 11918 and 11938 is 71138542.

LCM(11918,11938) = 71138542

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Least Common Multiple of 11918 and 11938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11918 and 11938, than apply into the LCM equation.

GCF(11918,11938) = 2
LCM(11918,11938) = ( 11918 × 11938) / 2
LCM(11918,11938) = 142277084 / 2
LCM(11918,11938) = 71138542

Least Common Multiple (LCM) of 11918 and 11938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11918 and 11938. First we will calculate the prime factors of 11918 and 11938.

Prime Factorization of 11918

Prime factors of 11918 are 2, 59, 101. Prime factorization of 11918 in exponential form is:

11918 = 21 × 591 × 1011

Prime Factorization of 11938

Prime factors of 11938 are 2, 47, 127. Prime factorization of 11938 in exponential form is:

11938 = 21 × 471 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 11918 and 11938.

LCM(11918,11938) = 21 × 591 × 1011 × 471 × 1271
LCM(11918,11938) = 71138542