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What is the Least Common Multiple of 57060 and 57066?

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 57060 and 57066 is 542697660.

LCM(57060,57066) = 542697660

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Least Common Multiple of 57060 and 57066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57060 and 57066, than apply into the LCM equation.

GCF(57060,57066) = 6
LCM(57060,57066) = ( 57060 × 57066) / 6
LCM(57060,57066) = 3256185960 / 6
LCM(57060,57066) = 542697660

Least Common Multiple (LCM) of 57060 and 57066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57060 and 57066. First we will calculate the prime factors of 57060 and 57066.

Prime Factorization of 57060

Prime factors of 57060 are 2, 3, 5, 317. Prime factorization of 57060 in exponential form is:

57060 = 22 × 32 × 51 × 3171

Prime Factorization of 57066

Prime factors of 57066 are 2, 3, 9511. Prime factorization of 57066 in exponential form is:

57066 = 21 × 31 × 95111

Now multiplying the highest exponent prime factors to calculate the LCM of 57060 and 57066.

LCM(57060,57066) = 22 × 32 × 51 × 3171 × 95111
LCM(57060,57066) = 542697660