What is the Least Common Multiple of 95800 and 95810?

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 95800 and 95810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95800 and 95810, than apply into the LCM equation.

GCF(95800,95810) = 10
LCM(95800,95810) = ( 95800 × 95810) / 10
LCM(95800,95810) = 9178598000 / 10
LCM(95800,95810) = 917859800

Least Common Multiple (LCM) of 95800 and 95810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95800 and 95810. First we will calculate the prime factors of 95800 and 95810.

Prime Factorization of 95800

Prime Factorization of 95810

Now multiplying the highest exponent prime factors to calculate the LCM of 95800 and 95810.

LCM(95800,95810) = 2³ × 5² × 479¹ × 11¹ × 13¹ × 67¹
LCM(95800,95810) = 917859800