What is the Least Common Multiple of 95080 and 95090?

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 95080 and 95090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95080 and 95090, than apply into the LCM equation.

GCF(95080,95090) = 10
LCM(95080,95090) = ( 95080 × 95090) / 10
LCM(95080,95090) = 9041157200 / 10
LCM(95080,95090) = 904115720

Least Common Multiple (LCM) of 95080 and 95090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95080 and 95090. First we will calculate the prime factors of 95080 and 95090.

Prime Factorization of 95080

Prime Factorization of 95090

Now multiplying the highest exponent prime factors to calculate the LCM of 95080 and 95090.

LCM(95080,95090) = 2³ × 5¹ × 2377¹ × 37¹ × 257¹
LCM(95080,95090) = 904115720