What is the Least Common Multiple of 9664 and 9678?

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 9664 and 9678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9664 and 9678, than apply into the LCM equation.

GCF(9664,9678) = 2
LCM(9664,9678) = ( 9664 × 9678) / 2
LCM(9664,9678) = 93528192 / 2
LCM(9664,9678) = 46764096

Least Common Multiple (LCM) of 9664 and 9678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9664 and 9678. First we will calculate the prime factors of 9664 and 9678.

Prime Factorization of 9664

Prime Factorization of 9678

Now multiplying the highest exponent prime factors to calculate the LCM of 9664 and 9678.

LCM(9664,9678) = 2⁶ × 151¹ × 3¹ × 1613¹
LCM(9664,9678) = 46764096