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What is the Least Common Multiple of 31095 and 31113?

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 31095 and 31113 is 107495415.

LCM(31095,31113) = 107495415

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Least Common Multiple of 31095 and 31113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31095 and 31113, than apply into the LCM equation.

GCF(31095,31113) = 9
LCM(31095,31113) = ( 31095 × 31113) / 9
LCM(31095,31113) = 967458735 / 9
LCM(31095,31113) = 107495415

Least Common Multiple (LCM) of 31095 and 31113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31095 and 31113. First we will calculate the prime factors of 31095 and 31113.

Prime Factorization of 31095

Prime factors of 31095 are 3, 5, 691. Prime factorization of 31095 in exponential form is:

31095 = 32 × 51 × 6911

Prime Factorization of 31113

Prime factors of 31113 are 3, 3457. Prime factorization of 31113 in exponential form is:

31113 = 32 × 34571

Now multiplying the highest exponent prime factors to calculate the LCM of 31095 and 31113.

LCM(31095,31113) = 32 × 51 × 6911 × 34571
LCM(31095,31113) = 107495415