What is the Least Common Multiple of 21748 and 21756?

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 21748 and 21756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21748 and 21756, than apply into the LCM equation.

GCF(21748,21756) = 4
LCM(21748,21756) = ( 21748 × 21756) / 4
LCM(21748,21756) = 473149488 / 4
LCM(21748,21756) = 118287372

Least Common Multiple (LCM) of 21748 and 21756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21748 and 21756. First we will calculate the prime factors of 21748 and 21756.

Prime Factorization of 21748

Prime Factorization of 21756

Now multiplying the highest exponent prime factors to calculate the LCM of 21748 and 21756.

LCM(21748,21756) = 2² × 5437¹ × 3¹ × 7² × 37¹
LCM(21748,21756) = 118287372