What is the Least Common Multiple of 94608 and 94628?

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 94608 and 94628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94608 and 94628, than apply into the LCM equation.

GCF(94608,94628) = 4
LCM(94608,94628) = ( 94608 × 94628) / 4
LCM(94608,94628) = 8952565824 / 4
LCM(94608,94628) = 2238141456

Least Common Multiple (LCM) of 94608 and 94628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94608 and 94628. First we will calculate the prime factors of 94608 and 94628.

Prime Factorization of 94608

Prime Factorization of 94628

Now multiplying the highest exponent prime factors to calculate the LCM of 94608 and 94628.

LCM(94608,94628) = 2⁴ × 3⁴ × 73¹ × 41¹ × 577¹
LCM(94608,94628) = 2238141456