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What is the Least Common Multiple of 54637 and 54651?

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 54637 and 54651 is 2985966687.

LCM(54637,54651) = 2985966687

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Least Common Multiple of 54637 and 54651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54637 and 54651, than apply into the LCM equation.

GCF(54637,54651) = 1
LCM(54637,54651) = ( 54637 × 54651) / 1
LCM(54637,54651) = 2985966687 / 1
LCM(54637,54651) = 2985966687

Least Common Multiple (LCM) of 54637 and 54651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54637 and 54651. First we will calculate the prime factors of 54637 and 54651.

Prime Factorization of 54637

Prime factors of 54637 are 11, 4967. Prime factorization of 54637 in exponential form is:

54637 = 111 × 49671

Prime Factorization of 54651

Prime factors of 54651 are 3, 18217. Prime factorization of 54651 in exponential form is:

54651 = 31 × 182171

Now multiplying the highest exponent prime factors to calculate the LCM of 54637 and 54651.

LCM(54637,54651) = 111 × 49671 × 31 × 182171
LCM(54637,54651) = 2985966687