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What is the Least Common Multiple of 54631 and 54646?

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 54631 and 54646 is 2985365626.

LCM(54631,54646) = 2985365626

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Least Common Multiple of 54631 and 54646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54631 and 54646, than apply into the LCM equation.

GCF(54631,54646) = 1
LCM(54631,54646) = ( 54631 × 54646) / 1
LCM(54631,54646) = 2985365626 / 1
LCM(54631,54646) = 2985365626

Least Common Multiple (LCM) of 54631 and 54646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54631 and 54646. First we will calculate the prime factors of 54631 and 54646.

Prime Factorization of 54631

Prime factors of 54631 are 54631. Prime factorization of 54631 in exponential form is:

54631 = 546311

Prime Factorization of 54646

Prime factors of 54646 are 2, 89, 307. Prime factorization of 54646 in exponential form is:

54646 = 21 × 891 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 54631 and 54646.

LCM(54631,54646) = 546311 × 21 × 891 × 3071
LCM(54631,54646) = 2985365626