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What is the Least Common Multiple of 66117 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 66117 and 66132 is 1457483148.

LCM(66117,66132) = 1457483148

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Least Common Multiple of 66117 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 66117 and 66132, than apply into the LCM equation.

GCF(66117,66132) = 3
LCM(66117,66132) = ( 66117 × 66132) / 3
LCM(66117,66132) = 4372449444 / 3
LCM(66117,66132) = 1457483148

Least Common Multiple (LCM) of 66117 and 66132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66117 and 66132. First we will calculate the prime factors of 66117 and 66132.

Prime Factorization of 66117

Prime factors of 66117 are 3, 22039. Prime factorization of 66117 in exponential form is:

66117 = 31 × 220391

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 66117 and 66132.

LCM(66117,66132) = 32 × 220391 × 22 × 111 × 1671
LCM(66117,66132) = 1457483148