What is the Least Common Multiple of 5664 and 5679?

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 5664 and 5679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5664 and 5679, than apply into the LCM equation.

GCF(5664,5679) = 3
LCM(5664,5679) = ( 5664 × 5679) / 3
LCM(5664,5679) = 32165856 / 3
LCM(5664,5679) = 10721952

Least Common Multiple (LCM) of 5664 and 5679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5664 and 5679. First we will calculate the prime factors of 5664 and 5679.

Prime Factorization of 5664

Prime Factorization of 5679

Now multiplying the highest exponent prime factors to calculate the LCM of 5664 and 5679.

LCM(5664,5679) = 2⁵ × 3² × 59¹ × 631¹
LCM(5664,5679) = 10721952