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What is the Least Common Multiple of 64663 and 64678?

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 64663 and 64678 is 4182273514.

LCM(64663,64678) = 4182273514

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Least Common Multiple of 64663 and 64678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64663 and 64678, than apply into the LCM equation.

GCF(64663,64678) = 1
LCM(64663,64678) = ( 64663 × 64678) / 1
LCM(64663,64678) = 4182273514 / 1
LCM(64663,64678) = 4182273514

Least Common Multiple (LCM) of 64663 and 64678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64663 and 64678. First we will calculate the prime factors of 64663 and 64678.

Prime Factorization of 64663

Prime factors of 64663 are 64663. Prime factorization of 64663 in exponential form is:

64663 = 646631

Prime Factorization of 64678

Prime factors of 64678 are 2, 73, 443. Prime factorization of 64678 in exponential form is:

64678 = 21 × 731 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 64663 and 64678.

LCM(64663,64678) = 646631 × 21 × 731 × 4431
LCM(64663,64678) = 4182273514