What is the Least Common Multiple of 94494 and 94502?

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 94494 and 94502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94494 and 94502, than apply into the LCM equation.

GCF(94494,94502) = 2
LCM(94494,94502) = ( 94494 × 94502) / 2
LCM(94494,94502) = 8929871988 / 2
LCM(94494,94502) = 4464935994

Least Common Multiple (LCM) of 94494 and 94502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94494 and 94502. First we will calculate the prime factors of 94494 and 94502.

Prime Factorization of 94494

Prime Factorization of 94502

Now multiplying the highest exponent prime factors to calculate the LCM of 94494 and 94502.

LCM(94494,94502) = 2¹ × 3¹ × 15749¹ × 47251¹
LCM(94494,94502) = 4464935994