What is the Least Common Multiple of 21072 and 21088?

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 21072 and 21088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21072 and 21088, than apply into the LCM equation.

GCF(21072,21088) = 16
LCM(21072,21088) = ( 21072 × 21088) / 16
LCM(21072,21088) = 444366336 / 16
LCM(21072,21088) = 27772896

Least Common Multiple (LCM) of 21072 and 21088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21072 and 21088. First we will calculate the prime factors of 21072 and 21088.

Prime Factorization of 21072

Prime Factorization of 21088

Now multiplying the highest exponent prime factors to calculate the LCM of 21072 and 21088.

LCM(21072,21088) = 2⁵ × 3¹ × 439¹ × 659¹
LCM(21072,21088) = 27772896