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What is the Least Common Multiple of 64482 and 64496?

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 64482 and 64496 is 2079415536.

LCM(64482,64496) = 2079415536

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Least Common Multiple of 64482 and 64496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64482 and 64496, than apply into the LCM equation.

GCF(64482,64496) = 2
LCM(64482,64496) = ( 64482 × 64496) / 2
LCM(64482,64496) = 4158831072 / 2
LCM(64482,64496) = 2079415536

Least Common Multiple (LCM) of 64482 and 64496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64482 and 64496. First we will calculate the prime factors of 64482 and 64496.

Prime Factorization of 64482

Prime factors of 64482 are 2, 3, 11, 977. Prime factorization of 64482 in exponential form is:

64482 = 21 × 31 × 111 × 9771

Prime Factorization of 64496

Prime factors of 64496 are 2, 29, 139. Prime factorization of 64496 in exponential form is:

64496 = 24 × 291 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 64482 and 64496.

LCM(64482,64496) = 24 × 31 × 111 × 9771 × 291 × 1391
LCM(64482,64496) = 2079415536