What is the Least Common Multiple of 94992 and 95010?

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 95010 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 95010, than apply into the LCM equation.

GCF(94992,95010) = 6
LCM(94992,95010) = ( 94992 × 95010) / 6
LCM(94992,95010) = 9025189920 / 6
LCM(94992,95010) = 1504198320

Least Common Multiple (LCM) of 94992 and 95010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94992 and 95010. First we will calculate the prime factors of 94992 and 95010.

Prime Factorization of 94992

Prime Factorization of 95010

Now multiplying the highest exponent prime factors to calculate the LCM of 94992 and 95010.

LCM(94992,95010) = 2⁴ × 3¹ × 1979¹ × 5¹ × 3167¹
LCM(94992,95010) = 1504198320