What is the Least Common Multiple of 74601 and 74617?

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 74601 and 74617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74601 and 74617, than apply into the LCM equation.

GCF(74601,74617) = 1
LCM(74601,74617) = ( 74601 × 74617) / 1
LCM(74601,74617) = 5566502817 / 1
LCM(74601,74617) = 5566502817

Least Common Multiple (LCM) of 74601 and 74617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74601 and 74617. First we will calculate the prime factors of 74601 and 74617.

Prime Factorization of 74601

Prime Factorization of 74617

Now multiplying the highest exponent prime factors to calculate the LCM of 74601 and 74617.

LCM(74601,74617) = 3⁵ × 307¹ × 29¹ × 31¹ × 83¹
LCM(74601,74617) = 5566502817