What is the Least Common Multiple of 94992 and 95000?

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 94992 and 95000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94992 and 95000, than apply into the LCM equation.

GCF(94992,95000) = 8
LCM(94992,95000) = ( 94992 × 95000) / 8
LCM(94992,95000) = 9024240000 / 8
LCM(94992,95000) = 1128030000

Least Common Multiple (LCM) of 94992 and 95000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94992 and 95000. First we will calculate the prime factors of 94992 and 95000.

Prime Factorization of 94992

Prime Factorization of 95000

Now multiplying the highest exponent prime factors to calculate the LCM of 94992 and 95000.

LCM(94992,95000) = 2⁴ × 3¹ × 1979¹ × 5⁴ × 19¹
LCM(94992,95000) = 1128030000