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What is the Least Common Multiple of 31188 and 31196?

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 31188 and 31196 is 243235212.

LCM(31188,31196) = 243235212

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Least Common Multiple of 31188 and 31196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31188 and 31196, than apply into the LCM equation.

GCF(31188,31196) = 4
LCM(31188,31196) = ( 31188 × 31196) / 4
LCM(31188,31196) = 972940848 / 4
LCM(31188,31196) = 243235212

Least Common Multiple (LCM) of 31188 and 31196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31188 and 31196. First we will calculate the prime factors of 31188 and 31196.

Prime Factorization of 31188

Prime factors of 31188 are 2, 3, 23, 113. Prime factorization of 31188 in exponential form is:

31188 = 22 × 31 × 231 × 1131

Prime Factorization of 31196

Prime factors of 31196 are 2, 11, 709. Prime factorization of 31196 in exponential form is:

31196 = 22 × 111 × 7091

Now multiplying the highest exponent prime factors to calculate the LCM of 31188 and 31196.

LCM(31188,31196) = 22 × 31 × 231 × 1131 × 111 × 7091
LCM(31188,31196) = 243235212