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What is the Least Common Multiple of 56686 and 56703?

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 56686 and 56703 is 3214266258.

LCM(56686,56703) = 3214266258

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Least Common Multiple of 56686 and 56703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56686 and 56703, than apply into the LCM equation.

GCF(56686,56703) = 1
LCM(56686,56703) = ( 56686 × 56703) / 1
LCM(56686,56703) = 3214266258 / 1
LCM(56686,56703) = 3214266258

Least Common Multiple (LCM) of 56686 and 56703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56686 and 56703. First we will calculate the prime factors of 56686 and 56703.

Prime Factorization of 56686

Prime factors of 56686 are 2, 7, 4049. Prime factorization of 56686 in exponential form is:

56686 = 21 × 71 × 40491

Prime Factorization of 56703

Prime factors of 56703 are 3, 41, 461. Prime factorization of 56703 in exponential form is:

56703 = 31 × 411 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 56686 and 56703.

LCM(56686,56703) = 21 × 71 × 40491 × 31 × 411 × 4611
LCM(56686,56703) = 3214266258