What is the Least Common Multiple of 4672 and 4678?

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 4672 and 4678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4672 and 4678, than apply into the LCM equation.

GCF(4672,4678) = 2
LCM(4672,4678) = ( 4672 × 4678) / 2
LCM(4672,4678) = 21855616 / 2
LCM(4672,4678) = 10927808

Least Common Multiple (LCM) of 4672 and 4678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4672 and 4678. First we will calculate the prime factors of 4672 and 4678.

Prime Factorization of 4672

Prime Factorization of 4678

Now multiplying the highest exponent prime factors to calculate the LCM of 4672 and 4678.

LCM(4672,4678) = 2⁶ × 73¹ × 2339¹
LCM(4672,4678) = 10927808