What is the Least Common Multiple of 95100 and 95120?

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 95100 and 95120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95100 and 95120, than apply into the LCM equation.

GCF(95100,95120) = 20
LCM(95100,95120) = ( 95100 × 95120) / 20
LCM(95100,95120) = 9045912000 / 20
LCM(95100,95120) = 452295600

Least Common Multiple (LCM) of 95100 and 95120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95100 and 95120. First we will calculate the prime factors of 95100 and 95120.

Prime Factorization of 95100

Prime Factorization of 95120

Now multiplying the highest exponent prime factors to calculate the LCM of 95100 and 95120.

LCM(95100,95120) = 2⁴ × 3¹ × 5² × 317¹ × 29¹ × 41¹
LCM(95100,95120) = 452295600