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What is the Least Common Multiple of 66081 and 66096?

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 66081 and 66096 is 1455896592.

LCM(66081,66096) = 1455896592

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Least Common Multiple of 66081 and 66096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66081 and 66096, than apply into the LCM equation.

GCF(66081,66096) = 3
LCM(66081,66096) = ( 66081 × 66096) / 3
LCM(66081,66096) = 4367689776 / 3
LCM(66081,66096) = 1455896592

Least Common Multiple (LCM) of 66081 and 66096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66081 and 66096. First we will calculate the prime factors of 66081 and 66096.

Prime Factorization of 66081

Prime factors of 66081 are 3, 22027. Prime factorization of 66081 in exponential form is:

66081 = 31 × 220271

Prime Factorization of 66096

Prime factors of 66096 are 2, 3, 17. Prime factorization of 66096 in exponential form is:

66096 = 24 × 35 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 66081 and 66096.

LCM(66081,66096) = 35 × 220271 × 24 × 171
LCM(66081,66096) = 1455896592