What is the Least Common Multiple of 48597 and 48617?

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 48597 and 48617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48597 and 48617, than apply into the LCM equation.

GCF(48597,48617) = 1
LCM(48597,48617) = ( 48597 × 48617) / 1
LCM(48597,48617) = 2362640349 / 1
LCM(48597,48617) = 2362640349

Least Common Multiple (LCM) of 48597 and 48617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48597 and 48617. First we will calculate the prime factors of 48597 and 48617.

Prime Factorization of 48597

Prime Factorization of 48617

Now multiplying the highest exponent prime factors to calculate the LCM of 48597 and 48617.

LCM(48597,48617) = 3¹ × 97¹ × 167¹ × 61¹ × 797¹
LCM(48597,48617) = 2362640349