What is the Least Common Multiple of 21936 and 21952?

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 21936 and 21952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21936 and 21952, than apply into the LCM equation.

GCF(21936,21952) = 16
LCM(21936,21952) = ( 21936 × 21952) / 16
LCM(21936,21952) = 481539072 / 16
LCM(21936,21952) = 30096192

Least Common Multiple (LCM) of 21936 and 21952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21936 and 21952. First we will calculate the prime factors of 21936 and 21952.

Prime Factorization of 21936

Prime Factorization of 21952

Now multiplying the highest exponent prime factors to calculate the LCM of 21936 and 21952.

LCM(21936,21952) = 2⁶ × 3¹ × 457¹ × 7³
LCM(21936,21952) = 30096192