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What is the Least Common Multiple of 31019 and 31036?

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 31019 and 31036 is 962705684.

LCM(31019,31036) = 962705684

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Least Common Multiple of 31019 and 31036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31019 and 31036, than apply into the LCM equation.

GCF(31019,31036) = 1
LCM(31019,31036) = ( 31019 × 31036) / 1
LCM(31019,31036) = 962705684 / 1
LCM(31019,31036) = 962705684

Least Common Multiple (LCM) of 31019 and 31036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31019 and 31036. First we will calculate the prime factors of 31019 and 31036.

Prime Factorization of 31019

Prime factors of 31019 are 31019. Prime factorization of 31019 in exponential form is:

31019 = 310191

Prime Factorization of 31036

Prime factors of 31036 are 2, 7759. Prime factorization of 31036 in exponential form is:

31036 = 22 × 77591

Now multiplying the highest exponent prime factors to calculate the LCM of 31019 and 31036.

LCM(31019,31036) = 310191 × 22 × 77591
LCM(31019,31036) = 962705684