What is the Least Common Multiple of 95478 and 95495?

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 95478 and 95495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95478 and 95495, than apply into the LCM equation.

GCF(95478,95495) = 1
LCM(95478,95495) = ( 95478 × 95495) / 1
LCM(95478,95495) = 9117671610 / 1
LCM(95478,95495) = 9117671610

Least Common Multiple (LCM) of 95478 and 95495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95478 and 95495. First we will calculate the prime factors of 95478 and 95495.

Prime Factorization of 95478

Prime Factorization of 95495

Now multiplying the highest exponent prime factors to calculate the LCM of 95478 and 95495.

LCM(95478,95495) = 2¹ × 3¹ × 15913¹ × 5¹ × 71¹ × 269¹
LCM(95478,95495) = 9117671610