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What is the Least Common Multiple of 56613 and 56617?

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 56613 and 56617 is 3205258221.

LCM(56613,56617) = 3205258221

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Least Common Multiple of 56613 and 56617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56613 and 56617, than apply into the LCM equation.

GCF(56613,56617) = 1
LCM(56613,56617) = ( 56613 × 56617) / 1
LCM(56613,56617) = 3205258221 / 1
LCM(56613,56617) = 3205258221

Least Common Multiple (LCM) of 56613 and 56617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56613 and 56617. First we will calculate the prime factors of 56613 and 56617.

Prime Factorization of 56613

Prime factors of 56613 are 3, 113, 167. Prime factorization of 56613 in exponential form is:

56613 = 31 × 1131 × 1671

Prime Factorization of 56617

Prime factors of 56617 are 11, 5147. Prime factorization of 56617 in exponential form is:

56617 = 111 × 51471

Now multiplying the highest exponent prime factors to calculate the LCM of 56613 and 56617.

LCM(56613,56617) = 31 × 1131 × 1671 × 111 × 51471
LCM(56613,56617) = 3205258221