What is the Least Common Multiple of 94624 and 94643?

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 94624 and 94643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94624 and 94643, than apply into the LCM equation.

GCF(94624,94643) = 1
LCM(94624,94643) = ( 94624 × 94643) / 1
LCM(94624,94643) = 8955499232 / 1
LCM(94624,94643) = 8955499232

Least Common Multiple (LCM) of 94624 and 94643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94624 and 94643. First we will calculate the prime factors of 94624 and 94643.

Prime Factorization of 94624

Prime Factorization of 94643

Now multiplying the highest exponent prime factors to calculate the LCM of 94624 and 94643.

LCM(94624,94643) = 2⁵ × 2957¹ × 31¹ × 43¹ × 71¹
LCM(94624,94643) = 8955499232