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What is the Least Common Multiple of 64806 and 64822?

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 64806 and 64822 is 2100427266.

LCM(64806,64822) = 2100427266

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Least Common Multiple of 64806 and 64822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64806 and 64822, than apply into the LCM equation.

GCF(64806,64822) = 2
LCM(64806,64822) = ( 64806 × 64822) / 2
LCM(64806,64822) = 4200854532 / 2
LCM(64806,64822) = 2100427266

Least Common Multiple (LCM) of 64806 and 64822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64806 and 64822. First we will calculate the prime factors of 64806 and 64822.

Prime Factorization of 64806

Prime factors of 64806 are 2, 3, 7, 1543. Prime factorization of 64806 in exponential form is:

64806 = 21 × 31 × 71 × 15431

Prime Factorization of 64822

Prime factors of 64822 are 2, 32411. Prime factorization of 64822 in exponential form is:

64822 = 21 × 324111

Now multiplying the highest exponent prime factors to calculate the LCM of 64806 and 64822.

LCM(64806,64822) = 21 × 31 × 71 × 15431 × 324111
LCM(64806,64822) = 2100427266