What is the Least Common Multiple of 95180 and 95187?

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 95180 and 95187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95180 and 95187, than apply into the LCM equation.

GCF(95180,95187) = 1
LCM(95180,95187) = ( 95180 × 95187) / 1
LCM(95180,95187) = 9059898660 / 1
LCM(95180,95187) = 9059898660

Least Common Multiple (LCM) of 95180 and 95187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95180 and 95187. First we will calculate the prime factors of 95180 and 95187.

Prime Factorization of 95180

Prime Factorization of 95187

Now multiplying the highest exponent prime factors to calculate the LCM of 95180 and 95187.

LCM(95180,95187) = 2² × 5¹ × 4759¹ × 3¹ × 31729¹
LCM(95180,95187) = 9059898660