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What is the Least Common Multiple of 57620 and 57637?

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 57620 and 57637 is 3321043940.

LCM(57620,57637) = 3321043940

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Least Common Multiple of 57620 and 57637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57620 and 57637, than apply into the LCM equation.

GCF(57620,57637) = 1
LCM(57620,57637) = ( 57620 × 57637) / 1
LCM(57620,57637) = 3321043940 / 1
LCM(57620,57637) = 3321043940

Least Common Multiple (LCM) of 57620 and 57637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57620 and 57637. First we will calculate the prime factors of 57620 and 57637.

Prime Factorization of 57620

Prime factors of 57620 are 2, 5, 43, 67. Prime factorization of 57620 in exponential form is:

57620 = 22 × 51 × 431 × 671

Prime Factorization of 57637

Prime factors of 57637 are 57637. Prime factorization of 57637 in exponential form is:

57637 = 576371

Now multiplying the highest exponent prime factors to calculate the LCM of 57620 and 57637.

LCM(57620,57637) = 22 × 51 × 431 × 671 × 576371
LCM(57620,57637) = 3321043940