What is the Least Common Multiple of 94478 and 94498?

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 94478 and 94498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94478 and 94498, than apply into the LCM equation.

GCF(94478,94498) = 2
LCM(94478,94498) = ( 94478 × 94498) / 2
LCM(94478,94498) = 8927982044 / 2
LCM(94478,94498) = 4463991022

Least Common Multiple (LCM) of 94478 and 94498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94478 and 94498. First we will calculate the prime factors of 94478 and 94498.

Prime Factorization of 94478

Prime Factorization of 94498

Now multiplying the highest exponent prime factors to calculate the LCM of 94478 and 94498.

LCM(94478,94498) = 2¹ × 97¹ × 487¹ × 37¹ × 1277¹
LCM(94478,94498) = 4463991022