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What is the Least Common Multiple of 57066 and 57085?

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 57066 and 57085 is 3257612610.

LCM(57066,57085) = 3257612610

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Least Common Multiple of 57066 and 57085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57066 and 57085, than apply into the LCM equation.

GCF(57066,57085) = 1
LCM(57066,57085) = ( 57066 × 57085) / 1
LCM(57066,57085) = 3257612610 / 1
LCM(57066,57085) = 3257612610

Least Common Multiple (LCM) of 57066 and 57085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57066 and 57085. First we will calculate the prime factors of 57066 and 57085.

Prime Factorization of 57066

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

57066 = 21 × 31 × 95111

Prime Factorization of 57085

Prime factors of 57085 are 5, 7, 233. Prime factorization of 57085 in exponential form is:

57085 = 51 × 72 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 57066 and 57085.

LCM(57066,57085) = 21 × 31 × 95111 × 51 × 72 × 2331
LCM(57066,57085) = 3257612610