What is the Least Common Multiple of 95478 and 95485?

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 95485 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 95485, than apply into the LCM equation.

GCF(95478,95485) = 1
LCM(95478,95485) = ( 95478 × 95485) / 1
LCM(95478,95485) = 9116716830 / 1
LCM(95478,95485) = 9116716830

Least Common Multiple (LCM) of 95478 and 95485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95478 and 95485. First we will calculate the prime factors of 95478 and 95485.

Prime Factorization of 95478

Prime Factorization of 95485

Now multiplying the highest exponent prime factors to calculate the LCM of 95478 and 95485.

LCM(95478,95485) = 2¹ × 3¹ × 15913¹ × 5¹ × 13² × 113¹
LCM(95478,95485) = 9116716830