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What is the Least Common Multiple of 64164 and 64171?

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 64164 and 64171 is 4117468044.

LCM(64164,64171) = 4117468044

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Least Common Multiple of 64164 and 64171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64164 and 64171, than apply into the LCM equation.

GCF(64164,64171) = 1
LCM(64164,64171) = ( 64164 × 64171) / 1
LCM(64164,64171) = 4117468044 / 1
LCM(64164,64171) = 4117468044

Least Common Multiple (LCM) of 64164 and 64171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64164 and 64171. First we will calculate the prime factors of 64164 and 64171.

Prime Factorization of 64164

Prime factors of 64164 are 2, 3, 5347. Prime factorization of 64164 in exponential form is:

64164 = 22 × 31 × 53471

Prime Factorization of 64171

Prime factors of 64171 are 64171. Prime factorization of 64171 in exponential form is:

64171 = 641711

Now multiplying the highest exponent prime factors to calculate the LCM of 64164 and 64171.

LCM(64164,64171) = 22 × 31 × 53471 × 641711
LCM(64164,64171) = 4117468044