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What is the Least Common Multiple of 64694 and 64708?

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 64694 and 64708 is 299015668.

LCM(64694,64708) = 299015668

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Least Common Multiple of 64694 and 64708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64694 and 64708, than apply into the LCM equation.

GCF(64694,64708) = 14
LCM(64694,64708) = ( 64694 × 64708) / 14
LCM(64694,64708) = 4186219352 / 14
LCM(64694,64708) = 299015668

Least Common Multiple (LCM) of 64694 and 64708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64694 and 64708. First we will calculate the prime factors of 64694 and 64708.

Prime Factorization of 64694

Prime factors of 64694 are 2, 7, 4621. Prime factorization of 64694 in exponential form is:

64694 = 21 × 71 × 46211

Prime Factorization of 64708

Prime factors of 64708 are 2, 7, 2311. Prime factorization of 64708 in exponential form is:

64708 = 22 × 71 × 23111

Now multiplying the highest exponent prime factors to calculate the LCM of 64694 and 64708.

LCM(64694,64708) = 22 × 71 × 46211 × 23111
LCM(64694,64708) = 299015668