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What is the Least Common Multiple of 64344 and 64360?

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 64344 and 64360 is 517647480.

LCM(64344,64360) = 517647480

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Least Common Multiple of 64344 and 64360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64344 and 64360, than apply into the LCM equation.

GCF(64344,64360) = 8
LCM(64344,64360) = ( 64344 × 64360) / 8
LCM(64344,64360) = 4141179840 / 8
LCM(64344,64360) = 517647480

Least Common Multiple (LCM) of 64344 and 64360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64344 and 64360. First we will calculate the prime factors of 64344 and 64360.

Prime Factorization of 64344

Prime factors of 64344 are 2, 3, 7, 383. Prime factorization of 64344 in exponential form is:

64344 = 23 × 31 × 71 × 3831

Prime Factorization of 64360

Prime factors of 64360 are 2, 5, 1609. Prime factorization of 64360 in exponential form is:

64360 = 23 × 51 × 16091

Now multiplying the highest exponent prime factors to calculate the LCM of 64344 and 64360.

LCM(64344,64360) = 23 × 31 × 71 × 3831 × 51 × 16091
LCM(64344,64360) = 517647480