What is the Least Common Multiple of 95609 and 95617?

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 95609 and 95617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95609 and 95617, than apply into the LCM equation.

GCF(95609,95617) = 1
LCM(95609,95617) = ( 95609 × 95617) / 1
LCM(95609,95617) = 9141845753 / 1
LCM(95609,95617) = 9141845753

Least Common Multiple (LCM) of 95609 and 95617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95609 and 95617. First we will calculate the prime factors of 95609 and 95617.

Prime Factorization of 95609

Prime Factorization of 95617

Now multiplying the highest exponent prime factors to calculate the LCM of 95609 and 95617.

LCM(95609,95617) = 67¹ × 1427¹ × 95617¹
LCM(95609,95617) = 9141845753