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What is the Least Common Multiple of 31165 and 31182?

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 31165 and 31182 is 971787030.

LCM(31165,31182) = 971787030

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Least Common Multiple of 31165 and 31182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31165 and 31182, than apply into the LCM equation.

GCF(31165,31182) = 1
LCM(31165,31182) = ( 31165 × 31182) / 1
LCM(31165,31182) = 971787030 / 1
LCM(31165,31182) = 971787030

Least Common Multiple (LCM) of 31165 and 31182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31165 and 31182. First we will calculate the prime factors of 31165 and 31182.

Prime Factorization of 31165

Prime factors of 31165 are 5, 23, 271. Prime factorization of 31165 in exponential form is:

31165 = 51 × 231 × 2711

Prime Factorization of 31182

Prime factors of 31182 are 2, 3, 5197. Prime factorization of 31182 in exponential form is:

31182 = 21 × 31 × 51971

Now multiplying the highest exponent prime factors to calculate the LCM of 31165 and 31182.

LCM(31165,31182) = 51 × 231 × 2711 × 21 × 31 × 51971
LCM(31165,31182) = 971787030