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What is the Least Common Multiple of 31071 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 31071 and 31077 is 321864489.

LCM(31071,31077) = 321864489

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Least Common Multiple of 31071 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 31071 and 31077, than apply into the LCM equation.

GCF(31071,31077) = 3
LCM(31071,31077) = ( 31071 × 31077) / 3
LCM(31071,31077) = 965593467 / 3
LCM(31071,31077) = 321864489

Least Common Multiple (LCM) of 31071 and 31077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31071 and 31077. First we will calculate the prime factors of 31071 and 31077.

Prime Factorization of 31071

Prime factors of 31071 are 3, 10357. Prime factorization of 31071 in exponential form is:

31071 = 31 × 103571

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 31071 and 31077.

LCM(31071,31077) = 33 × 103571 × 11511
LCM(31071,31077) = 321864489