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What is the Least Common Multiple of 66115 and 66132?

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 66115 and 66132 is 4372317180.

LCM(66115,66132) = 4372317180

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Least Common Multiple of 66115 and 66132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66115 and 66132, than apply into the LCM equation.

GCF(66115,66132) = 1
LCM(66115,66132) = ( 66115 × 66132) / 1
LCM(66115,66132) = 4372317180 / 1
LCM(66115,66132) = 4372317180

Least Common Multiple (LCM) of 66115 and 66132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66115 and 66132. First we will calculate the prime factors of 66115 and 66132.

Prime Factorization of 66115

Prime factors of 66115 are 5, 7, 1889. Prime factorization of 66115 in exponential form is:

66115 = 51 × 71 × 18891

Prime Factorization of 66132

Prime factors of 66132 are 2, 3, 11, 167. Prime factorization of 66132 in exponential form is:

66132 = 22 × 32 × 111 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 66115 and 66132.

LCM(66115,66132) = 51 × 71 × 18891 × 22 × 32 × 111 × 1671
LCM(66115,66132) = 4372317180