What is the Least Common Multiple of 21648 and 21654?

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 21648 and 21654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21648 and 21654, than apply into the LCM equation.

GCF(21648,21654) = 6
LCM(21648,21654) = ( 21648 × 21654) / 6
LCM(21648,21654) = 468765792 / 6
LCM(21648,21654) = 78127632

Least Common Multiple (LCM) of 21648 and 21654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21648 and 21654. First we will calculate the prime factors of 21648 and 21654.

Prime Factorization of 21648

Prime Factorization of 21654

Now multiplying the highest exponent prime factors to calculate the LCM of 21648 and 21654.

LCM(21648,21654) = 2⁴ × 3³ × 11¹ × 41¹ × 401¹
LCM(21648,21654) = 78127632