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What is the Least Common Multiple of 64653 and 64668?

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 64653 and 64668 is 1393660068.

LCM(64653,64668) = 1393660068

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Least Common Multiple of 64653 and 64668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64653 and 64668, than apply into the LCM equation.

GCF(64653,64668) = 3
LCM(64653,64668) = ( 64653 × 64668) / 3
LCM(64653,64668) = 4180980204 / 3
LCM(64653,64668) = 1393660068

Least Common Multiple (LCM) of 64653 and 64668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64653 and 64668. First we will calculate the prime factors of 64653 and 64668.

Prime Factorization of 64653

Prime factors of 64653 are 3, 23, 937. Prime factorization of 64653 in exponential form is:

64653 = 31 × 231 × 9371

Prime Factorization of 64668

Prime factors of 64668 are 2, 3, 17, 317. Prime factorization of 64668 in exponential form is:

64668 = 22 × 31 × 171 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 64653 and 64668.

LCM(64653,64668) = 31 × 231 × 9371 × 22 × 171 × 3171
LCM(64653,64668) = 1393660068