What is the Least Common Multiple of 21904 and 21921?

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 21904 and 21921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21904 and 21921, than apply into the LCM equation.

GCF(21904,21921) = 1
LCM(21904,21921) = ( 21904 × 21921) / 1
LCM(21904,21921) = 480157584 / 1
LCM(21904,21921) = 480157584

Least Common Multiple (LCM) of 21904 and 21921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21904 and 21921. First we will calculate the prime factors of 21904 and 21921.

Prime Factorization of 21904

Prime Factorization of 21921

Now multiplying the highest exponent prime factors to calculate the LCM of 21904 and 21921.

LCM(21904,21921) = 2⁴ × 37² × 3¹ × 7307¹
LCM(21904,21921) = 480157584