GCF and LCM Calculator Logo

What is the Least Common Multiple of 56601 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 56601 and 56617 is 3204578817.

LCM(56601,56617) = 3204578817

LCM Calculator and
and

Least Common Multiple of 56601 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 56601 and 56617, than apply into the LCM equation.

GCF(56601,56617) = 1
LCM(56601,56617) = ( 56601 × 56617) / 1
LCM(56601,56617) = 3204578817 / 1
LCM(56601,56617) = 3204578817

Least Common Multiple (LCM) of 56601 and 56617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56601 and 56617. First we will calculate the prime factors of 56601 and 56617.

Prime Factorization of 56601

Prime factors of 56601 are 3, 19, 331. Prime factorization of 56601 in exponential form is:

56601 = 32 × 191 × 3311

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 56601 and 56617.

LCM(56601,56617) = 32 × 191 × 3311 × 111 × 51471
LCM(56601,56617) = 3204578817