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What is the Least Common Multiple of 31083 and 31093?

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 31083 and 31093 is 966463719.

LCM(31083,31093) = 966463719

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Least Common Multiple of 31083 and 31093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31083 and 31093, than apply into the LCM equation.

GCF(31083,31093) = 1
LCM(31083,31093) = ( 31083 × 31093) / 1
LCM(31083,31093) = 966463719 / 1
LCM(31083,31093) = 966463719

Least Common Multiple (LCM) of 31083 and 31093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31083 and 31093. First we will calculate the prime factors of 31083 and 31093.

Prime Factorization of 31083

Prime factors of 31083 are 3, 13, 797. Prime factorization of 31083 in exponential form is:

31083 = 31 × 131 × 7971

Prime Factorization of 31093

Prime factors of 31093 are 17, 31, 59. Prime factorization of 31093 in exponential form is:

31093 = 171 × 311 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 31083 and 31093.

LCM(31083,31093) = 31 × 131 × 7971 × 171 × 311 × 591
LCM(31083,31093) = 966463719