What is the Least Common Multiple of 57597 and 57617?

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 of 57597 and 57617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57597 and 57617, than apply into the LCM equation.

GCF(57597,57617) = 1
LCM(57597,57617) = ( 57597 × 57617) / 1
LCM(57597,57617) = 3318566349 / 1
LCM(57597,57617) = 3318566349

Least Common Multiple (LCM) of 57597 and 57617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57597 and 57617. First we will calculate the prime factors of 57597 and 57617.

Prime Factorization of 57597

Prime Factorization of 57617

Now multiplying the highest exponent prime factors to calculate the LCM of 57597 and 57617.

LCM(57597,57617) = 3¹ × 73¹ × 263¹ × 7¹ × 8231¹
LCM(57597,57617) = 3318566349