What is the Least Common Multiple of 4672 and 4679?

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 4679 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 4679, than apply into the LCM equation.

GCF(4672,4679) = 1
LCM(4672,4679) = ( 4672 × 4679) / 1
LCM(4672,4679) = 21860288 / 1
LCM(4672,4679) = 21860288

Least Common Multiple (LCM) of 4672 and 4679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4672 and 4679. First we will calculate the prime factors of 4672 and 4679.

Prime Factorization of 4672

Prime Factorization of 4679

Now multiplying the highest exponent prime factors to calculate the LCM of 4672 and 4679.

LCM(4672,4679) = 2⁶ × 73¹ × 4679¹
LCM(4672,4679) = 21860288