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What is the Least Common Multiple of 31066 and 31077?

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 31066 and 31077 is 965438082.

LCM(31066,31077) = 965438082

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Least Common Multiple of 31066 and 31077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31066 and 31077, than apply into the LCM equation.

GCF(31066,31077) = 1
LCM(31066,31077) = ( 31066 × 31077) / 1
LCM(31066,31077) = 965438082 / 1
LCM(31066,31077) = 965438082

Least Common Multiple (LCM) of 31066 and 31077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31066 and 31077. First we will calculate the prime factors of 31066 and 31077.

Prime Factorization of 31066

Prime factors of 31066 are 2, 7, 317. Prime factorization of 31066 in exponential form is:

31066 = 21 × 72 × 3171

Prime Factorization of 31077

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

31077 = 33 × 11511

Now multiplying the highest exponent prime factors to calculate the LCM of 31066 and 31077.

LCM(31066,31077) = 21 × 72 × 3171 × 33 × 11511
LCM(31066,31077) = 965438082