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What is the Least Common Multiple of 54657 and 54667?

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 54657 and 54667 is 2987934219.

LCM(54657,54667) = 2987934219

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Least Common Multiple of 54657 and 54667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54657 and 54667, than apply into the LCM equation.

GCF(54657,54667) = 1
LCM(54657,54667) = ( 54657 × 54667) / 1
LCM(54657,54667) = 2987934219 / 1
LCM(54657,54667) = 2987934219

Least Common Multiple (LCM) of 54657 and 54667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54657 and 54667. First we will calculate the prime factors of 54657 and 54667.

Prime Factorization of 54657

Prime factors of 54657 are 3, 6073. Prime factorization of 54657 in exponential form is:

54657 = 32 × 60731

Prime Factorization of 54667

Prime factors of 54667 are 54667. Prime factorization of 54667 in exponential form is:

54667 = 546671

Now multiplying the highest exponent prime factors to calculate the LCM of 54657 and 54667.

LCM(54657,54667) = 32 × 60731 × 546671
LCM(54657,54667) = 2987934219