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What is the Least Common Multiple of 57613 and 57621?

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 57613 and 57621 is 3319718673.

LCM(57613,57621) = 3319718673

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Least Common Multiple of 57613 and 57621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57613 and 57621, than apply into the LCM equation.

GCF(57613,57621) = 1
LCM(57613,57621) = ( 57613 × 57621) / 1
LCM(57613,57621) = 3319718673 / 1
LCM(57613,57621) = 3319718673

Least Common Multiple (LCM) of 57613 and 57621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57613 and 57621. First we will calculate the prime factors of 57613 and 57621.

Prime Factorization of 57613

Prime factors of 57613 are 17, 3389. Prime factorization of 57613 in exponential form is:

57613 = 171 × 33891

Prime Factorization of 57621

Prime factors of 57621 are 3, 19207. Prime factorization of 57621 in exponential form is:

57621 = 31 × 192071

Now multiplying the highest exponent prime factors to calculate the LCM of 57613 and 57621.

LCM(57613,57621) = 171 × 33891 × 31 × 192071
LCM(57613,57621) = 3319718673