What is the Least Common Multiple of 94608 and 94613?

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 94613 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 94613, than apply into the LCM equation.

GCF(94608,94613) = 1
LCM(94608,94613) = ( 94608 × 94613) / 1
LCM(94608,94613) = 8951146704 / 1
LCM(94608,94613) = 8951146704

Least Common Multiple (LCM) of 94608 and 94613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94608 and 94613. First we will calculate the prime factors of 94608 and 94613.

Prime Factorization of 94608

Prime Factorization of 94613

Now multiplying the highest exponent prime factors to calculate the LCM of 94608 and 94613.

LCM(94608,94613) = 2⁴ × 3⁴ × 73¹ × 94613¹
LCM(94608,94613) = 8951146704