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What is the Least Common Multiple of 31076 and 31082?

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 31076 and 31082 is 482952116.

LCM(31076,31082) = 482952116

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Least Common Multiple of 31076 and 31082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31076 and 31082, than apply into the LCM equation.

GCF(31076,31082) = 2
LCM(31076,31082) = ( 31076 × 31082) / 2
LCM(31076,31082) = 965904232 / 2
LCM(31076,31082) = 482952116

Least Common Multiple (LCM) of 31076 and 31082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31076 and 31082. First we will calculate the prime factors of 31076 and 31082.

Prime Factorization of 31076

Prime factors of 31076 are 2, 17, 457. Prime factorization of 31076 in exponential form is:

31076 = 22 × 171 × 4571

Prime Factorization of 31082

Prime factors of 31082 are 2, 15541. Prime factorization of 31082 in exponential form is:

31082 = 21 × 155411

Now multiplying the highest exponent prime factors to calculate the LCM of 31076 and 31082.

LCM(31076,31082) = 22 × 171 × 4571 × 155411
LCM(31076,31082) = 482952116