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What is the Least Common Multiple of 64166 and 64172?

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 64166 and 64172 is 2058830276.

LCM(64166,64172) = 2058830276

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Least Common Multiple of 64166 and 64172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64166 and 64172, than apply into the LCM equation.

GCF(64166,64172) = 2
LCM(64166,64172) = ( 64166 × 64172) / 2
LCM(64166,64172) = 4117660552 / 2
LCM(64166,64172) = 2058830276

Least Common Multiple (LCM) of 64166 and 64172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64166 and 64172. First we will calculate the prime factors of 64166 and 64172.

Prime Factorization of 64166

Prime factors of 64166 are 2, 32083. Prime factorization of 64166 in exponential form is:

64166 = 21 × 320831

Prime Factorization of 64172

Prime factors of 64172 are 2, 61, 263. Prime factorization of 64172 in exponential form is:

64172 = 22 × 611 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 64166 and 64172.

LCM(64166,64172) = 22 × 320831 × 611 × 2631
LCM(64166,64172) = 2058830276