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What is the Least Common Multiple of 57132 and 57146?

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 57132 and 57146 is 1632432636.

LCM(57132,57146) = 1632432636

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Least Common Multiple of 57132 and 57146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57132 and 57146, than apply into the LCM equation.

GCF(57132,57146) = 2
LCM(57132,57146) = ( 57132 × 57146) / 2
LCM(57132,57146) = 3264865272 / 2
LCM(57132,57146) = 1632432636

Least Common Multiple (LCM) of 57132 and 57146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57132 and 57146. First we will calculate the prime factors of 57132 and 57146.

Prime Factorization of 57132

Prime factors of 57132 are 2, 3, 23. Prime factorization of 57132 in exponential form is:

57132 = 22 × 33 × 232

Prime Factorization of 57146

Prime factors of 57146 are 2, 28573. Prime factorization of 57146 in exponential form is:

57146 = 21 × 285731

Now multiplying the highest exponent prime factors to calculate the LCM of 57132 and 57146.

LCM(57132,57146) = 22 × 33 × 232 × 285731
LCM(57132,57146) = 1632432636