What is the Least Common Multiple of 47664 and 47678?

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 47664 and 47678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47664 and 47678, than apply into the LCM equation.

GCF(47664,47678) = 2
LCM(47664,47678) = ( 47664 × 47678) / 2
LCM(47664,47678) = 2272524192 / 2
LCM(47664,47678) = 1136262096

Least Common Multiple (LCM) of 47664 and 47678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47664 and 47678. First we will calculate the prime factors of 47664 and 47678.

Prime Factorization of 47664

Prime Factorization of 47678

Now multiplying the highest exponent prime factors to calculate the LCM of 47664 and 47678.

LCM(47664,47678) = 2⁴ × 3² × 331¹ × 31¹ × 769¹
LCM(47664,47678) = 1136262096