What is the Least Common Multiple of 21648 and 21667?

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 21667 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 21667, than apply into the LCM equation.

GCF(21648,21667) = 1
LCM(21648,21667) = ( 21648 × 21667) / 1
LCM(21648,21667) = 469047216 / 1
LCM(21648,21667) = 469047216

Least Common Multiple (LCM) of 21648 and 21667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21648 and 21667. First we will calculate the prime factors of 21648 and 21667.

Prime Factorization of 21648

Prime Factorization of 21667

Now multiplying the highest exponent prime factors to calculate the LCM of 21648 and 21667.

LCM(21648,21667) = 2⁴ × 3¹ × 11¹ × 41¹ × 47¹ × 461¹
LCM(21648,21667) = 469047216