What is the Least Common Multiple of 94996 and 95014?

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 94996 and 95014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94996 and 95014, than apply into the LCM equation.

GCF(94996,95014) = 2
LCM(94996,95014) = ( 94996 × 95014) / 2
LCM(94996,95014) = 9025949944 / 2
LCM(94996,95014) = 4512974972

Least Common Multiple (LCM) of 94996 and 95014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94996 and 95014. First we will calculate the prime factors of 94996 and 95014.

Prime Factorization of 94996

Prime Factorization of 95014

Now multiplying the highest exponent prime factors to calculate the LCM of 94996 and 95014.

LCM(94996,95014) = 2² × 11¹ × 17¹ × 127¹ × 47507¹
LCM(94996,95014) = 4512974972