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What is the Least Common Multiple of 54601 and 54607?

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 54601 and 54607 is 2981596807.

LCM(54601,54607) = 2981596807

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Least Common Multiple of 54601 and 54607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54601 and 54607, than apply into the LCM equation.

GCF(54601,54607) = 1
LCM(54601,54607) = ( 54601 × 54607) / 1
LCM(54601,54607) = 2981596807 / 1
LCM(54601,54607) = 2981596807

Least Common Multiple (LCM) of 54601 and 54607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54601 and 54607. First we will calculate the prime factors of 54601 and 54607.

Prime Factorization of 54601

Prime factors of 54601 are 54601. Prime factorization of 54601 in exponential form is:

54601 = 546011

Prime Factorization of 54607

Prime factors of 54607 are 7, 29, 269. Prime factorization of 54607 in exponential form is:

54607 = 71 × 291 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 54601 and 54607.

LCM(54601,54607) = 546011 × 71 × 291 × 2691
LCM(54601,54607) = 2981596807