What is the Least Common Multiple of 21724 and 21732?

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 21724 and 21732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21724 and 21732, than apply into the LCM equation.

GCF(21724,21732) = 4
LCM(21724,21732) = ( 21724 × 21732) / 4
LCM(21724,21732) = 472105968 / 4
LCM(21724,21732) = 118026492

Least Common Multiple (LCM) of 21724 and 21732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21724 and 21732. First we will calculate the prime factors of 21724 and 21732.

Prime Factorization of 21724

Prime Factorization of 21732

Now multiplying the highest exponent prime factors to calculate the LCM of 21724 and 21732.

LCM(21724,21732) = 2² × 5431¹ × 3¹ × 1811¹
LCM(21724,21732) = 118026492