What is the Least Common Multiple of 94628 and 94633?

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 94628 and 94633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94628 and 94633, than apply into the LCM equation.

GCF(94628,94633) = 1
LCM(94628,94633) = ( 94628 × 94633) / 1
LCM(94628,94633) = 8954931524 / 1
LCM(94628,94633) = 8954931524

Least Common Multiple (LCM) of 94628 and 94633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94628 and 94633. First we will calculate the prime factors of 94628 and 94633.

Prime Factorization of 94628

Prime Factorization of 94633

Now multiplying the highest exponent prime factors to calculate the LCM of 94628 and 94633.

LCM(94628,94633) = 2² × 41¹ × 577¹ × 7¹ × 11¹ × 1229¹
LCM(94628,94633) = 8954931524