What is the Least Common Multiple of 21952 and 21972?

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 21952 and 21972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21952 and 21972, than apply into the LCM equation.

GCF(21952,21972) = 4
LCM(21952,21972) = ( 21952 × 21972) / 4
LCM(21952,21972) = 482329344 / 4
LCM(21952,21972) = 120582336

Least Common Multiple (LCM) of 21952 and 21972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21952 and 21972. First we will calculate the prime factors of 21952 and 21972.

Prime Factorization of 21952

Prime Factorization of 21972

Now multiplying the highest exponent prime factors to calculate the LCM of 21952 and 21972.

LCM(21952,21972) = 2⁶ × 7³ × 3¹ × 1831¹
LCM(21952,21972) = 120582336