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What is the Least Common Multiple of 64562 and 64582?

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 64562 and 64582 is 2084771542.

LCM(64562,64582) = 2084771542

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Least Common Multiple of 64562 and 64582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64562 and 64582, than apply into the LCM equation.

GCF(64562,64582) = 2
LCM(64562,64582) = ( 64562 × 64582) / 2
LCM(64562,64582) = 4169543084 / 2
LCM(64562,64582) = 2084771542

Least Common Multiple (LCM) of 64562 and 64582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64562 and 64582. First we will calculate the prime factors of 64562 and 64582.

Prime Factorization of 64562

Prime factors of 64562 are 2, 19, 1699. Prime factorization of 64562 in exponential form is:

64562 = 21 × 191 × 16991

Prime Factorization of 64582

Prime factors of 64582 are 2, 7, 659. Prime factorization of 64582 in exponential form is:

64582 = 21 × 72 × 6591

Now multiplying the highest exponent prime factors to calculate the LCM of 64562 and 64582.

LCM(64562,64582) = 21 × 191 × 16991 × 72 × 6591
LCM(64562,64582) = 2084771542