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What is the Least Common Multiple of 31077 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 31077 and 31082 is 965935314.

LCM(31077,31082) = 965935314

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Least Common Multiple of 31077 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 31077 and 31082, than apply into the LCM equation.

GCF(31077,31082) = 1
LCM(31077,31082) = ( 31077 × 31082) / 1
LCM(31077,31082) = 965935314 / 1
LCM(31077,31082) = 965935314

Least Common Multiple (LCM) of 31077 and 31082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31077 and 31082. First we will calculate the prime factors of 31077 and 31082.

Prime Factorization of 31077

Prime factors of 31077 are 3, 1151. Prime factorization of 31077 in exponential form is:

31077 = 33 × 11511

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 31077 and 31082.

LCM(31077,31082) = 33 × 11511 × 21 × 155411
LCM(31077,31082) = 965935314