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What is the Least Common Multiple of 56651 and 56665?

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 56651 and 56665 is 458589845.

LCM(56651,56665) = 458589845

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Least Common Multiple of 56651 and 56665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56651 and 56665, than apply into the LCM equation.

GCF(56651,56665) = 7
LCM(56651,56665) = ( 56651 × 56665) / 7
LCM(56651,56665) = 3210128915 / 7
LCM(56651,56665) = 458589845

Least Common Multiple (LCM) of 56651 and 56665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56651 and 56665. First we will calculate the prime factors of 56651 and 56665.

Prime Factorization of 56651

Prime factors of 56651 are 7, 8093. Prime factorization of 56651 in exponential form is:

56651 = 71 × 80931

Prime Factorization of 56665

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

56665 = 51 × 71 × 16191

Now multiplying the highest exponent prime factors to calculate the LCM of 56651 and 56665.

LCM(56651,56665) = 71 × 80931 × 51 × 16191
LCM(56651,56665) = 458589845