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What is the Least Common Multiple of 31097 and 31108?

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 31097 and 31108 is 87942316.

LCM(31097,31108) = 87942316

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Least Common Multiple of 31097 and 31108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31097 and 31108, than apply into the LCM equation.

GCF(31097,31108) = 11
LCM(31097,31108) = ( 31097 × 31108) / 11
LCM(31097,31108) = 967365476 / 11
LCM(31097,31108) = 87942316

Least Common Multiple (LCM) of 31097 and 31108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31097 and 31108. First we will calculate the prime factors of 31097 and 31108.

Prime Factorization of 31097

Prime factors of 31097 are 11, 257. Prime factorization of 31097 in exponential form is:

31097 = 112 × 2571

Prime Factorization of 31108

Prime factors of 31108 are 2, 7, 11, 101. Prime factorization of 31108 in exponential form is:

31108 = 22 × 71 × 111 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 31097 and 31108.

LCM(31097,31108) = 112 × 2571 × 22 × 71 × 1011
LCM(31097,31108) = 87942316