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What is the Least Common Multiple of 64104 and 64110?

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 64104 and 64110 is 684951240.

LCM(64104,64110) = 684951240

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Least Common Multiple of 64104 and 64110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64104 and 64110, than apply into the LCM equation.

GCF(64104,64110) = 6
LCM(64104,64110) = ( 64104 × 64110) / 6
LCM(64104,64110) = 4109707440 / 6
LCM(64104,64110) = 684951240

Least Common Multiple (LCM) of 64104 and 64110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64104 and 64110. First we will calculate the prime factors of 64104 and 64110.

Prime Factorization of 64104

Prime factors of 64104 are 2, 3, 2671. Prime factorization of 64104 in exponential form is:

64104 = 23 × 31 × 26711

Prime Factorization of 64110

Prime factors of 64110 are 2, 3, 5, 2137. Prime factorization of 64110 in exponential form is:

64110 = 21 × 31 × 51 × 21371

Now multiplying the highest exponent prime factors to calculate the LCM of 64104 and 64110.

LCM(64104,64110) = 23 × 31 × 26711 × 51 × 21371
LCM(64104,64110) = 684951240