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What is the Least Common Multiple of 64670 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 64670 and 64678 is 2091363130.

LCM(64670,64678) = 2091363130

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Least Common Multiple of 64670 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 64670 and 64678, than apply into the LCM equation.

GCF(64670,64678) = 2
LCM(64670,64678) = ( 64670 × 64678) / 2
LCM(64670,64678) = 4182726260 / 2
LCM(64670,64678) = 2091363130

Least Common Multiple (LCM) of 64670 and 64678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64670 and 64678. First we will calculate the prime factors of 64670 and 64678.

Prime Factorization of 64670

Prime factors of 64670 are 2, 5, 29, 223. Prime factorization of 64670 in exponential form is:

64670 = 21 × 51 × 291 × 2231

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 64670 and 64678.

LCM(64670,64678) = 21 × 51 × 291 × 2231 × 731 × 4431
LCM(64670,64678) = 2091363130