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What is the Least Common Multiple of 64472 and 64490?

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 64472 and 64490 is 2078899640.

LCM(64472,64490) = 2078899640

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Least Common Multiple of 64472 and 64490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64472 and 64490, than apply into the LCM equation.

GCF(64472,64490) = 2
LCM(64472,64490) = ( 64472 × 64490) / 2
LCM(64472,64490) = 4157799280 / 2
LCM(64472,64490) = 2078899640

Least Common Multiple (LCM) of 64472 and 64490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64472 and 64490. First we will calculate the prime factors of 64472 and 64490.

Prime Factorization of 64472

Prime factors of 64472 are 2, 8059. Prime factorization of 64472 in exponential form is:

64472 = 23 × 80591

Prime Factorization of 64490

Prime factors of 64490 are 2, 5, 6449. Prime factorization of 64490 in exponential form is:

64490 = 21 × 51 × 64491

Now multiplying the highest exponent prime factors to calculate the LCM of 64472 and 64490.

LCM(64472,64490) = 23 × 80591 × 51 × 64491
LCM(64472,64490) = 2078899640