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What is the Least Common Multiple of 56731 and 56735?

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 56731 and 56735 is 3218633285.

LCM(56731,56735) = 3218633285

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Least Common Multiple of 56731 and 56735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56731 and 56735, than apply into the LCM equation.

GCF(56731,56735) = 1
LCM(56731,56735) = ( 56731 × 56735) / 1
LCM(56731,56735) = 3218633285 / 1
LCM(56731,56735) = 3218633285

Least Common Multiple (LCM) of 56731 and 56735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56731 and 56735. First we will calculate the prime factors of 56731 and 56735.

Prime Factorization of 56731

Prime factors of 56731 are 56731. Prime factorization of 56731 in exponential form is:

56731 = 567311

Prime Factorization of 56735

Prime factors of 56735 are 5, 7, 1621. Prime factorization of 56735 in exponential form is:

56735 = 51 × 71 × 16211

Now multiplying the highest exponent prime factors to calculate the LCM of 56731 and 56735.

LCM(56731,56735) = 567311 × 51 × 71 × 16211
LCM(56731,56735) = 3218633285