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What is the Least Common Multiple of 56665 and 56678?

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 56665 and 56678 is 3211658870.

LCM(56665,56678) = 3211658870

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Least Common Multiple of 56665 and 56678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56665 and 56678, than apply into the LCM equation.

GCF(56665,56678) = 1
LCM(56665,56678) = ( 56665 × 56678) / 1
LCM(56665,56678) = 3211658870 / 1
LCM(56665,56678) = 3211658870

Least Common Multiple (LCM) of 56665 and 56678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56665 and 56678. First we will calculate the prime factors of 56665 and 56678.

Prime Factorization of 56665

Prime factors of 56665 are 5, 7, 1619. Prime factorization of 56665 in exponential form is:

56665 = 51 × 71 × 16191

Prime Factorization of 56678

Prime factors of 56678 are 2, 17, 1667. Prime factorization of 56678 in exponential form is:

56678 = 21 × 171 × 16671

Now multiplying the highest exponent prime factors to calculate the LCM of 56665 and 56678.

LCM(56665,56678) = 51 × 71 × 16191 × 21 × 171 × 16671
LCM(56665,56678) = 3211658870