What is the Least Common Multiple of 75599 and 75617?

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 75599 and 75617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75599 and 75617, than apply into the LCM equation.

GCF(75599,75617) = 1
LCM(75599,75617) = ( 75599 × 75617) / 1
LCM(75599,75617) = 5716569583 / 1
LCM(75599,75617) = 5716569583

Least Common Multiple (LCM) of 75599 and 75617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75599 and 75617. First we will calculate the prime factors of 75599 and 75617.

Prime Factorization of 75599

Prime Factorization of 75617

Now multiplying the highest exponent prime factors to calculate the LCM of 75599 and 75617.

LCM(75599,75617) = 17¹ × 4447¹ × 75617¹
LCM(75599,75617) = 5716569583