What is the Least Common Multiple of 94640 and 94645?

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 94640 and 94645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94640 and 94645, than apply into the LCM equation.

GCF(94640,94645) = 5
LCM(94640,94645) = ( 94640 × 94645) / 5
LCM(94640,94645) = 8957202800 / 5
LCM(94640,94645) = 1791440560

Least Common Multiple (LCM) of 94640 and 94645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94640 and 94645. First we will calculate the prime factors of 94640 and 94645.

Prime Factorization of 94640

Prime Factorization of 94645

Now multiplying the highest exponent prime factors to calculate the LCM of 94640 and 94645.

LCM(94640,94645) = 2⁴ × 5¹ × 7¹ × 13² × 23¹ × 823¹
LCM(94640,94645) = 1791440560