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What is the Least Common Multiple of 56634 and 56640?

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 56634 and 56640 is 534624960.

LCM(56634,56640) = 534624960

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Least Common Multiple of 56634 and 56640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56634 and 56640, than apply into the LCM equation.

GCF(56634,56640) = 6
LCM(56634,56640) = ( 56634 × 56640) / 6
LCM(56634,56640) = 3207749760 / 6
LCM(56634,56640) = 534624960

Least Common Multiple (LCM) of 56634 and 56640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56634 and 56640. First we will calculate the prime factors of 56634 and 56640.

Prime Factorization of 56634

Prime factors of 56634 are 2, 3, 9439. Prime factorization of 56634 in exponential form is:

56634 = 21 × 31 × 94391

Prime Factorization of 56640

Prime factors of 56640 are 2, 3, 5, 59. Prime factorization of 56640 in exponential form is:

56640 = 26 × 31 × 51 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 56634 and 56640.

LCM(56634,56640) = 26 × 31 × 94391 × 51 × 591
LCM(56634,56640) = 534624960