What is the Least Common Multiple of 21920 and 21938?

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 21920 and 21938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21920 and 21938, than apply into the LCM equation.

GCF(21920,21938) = 2
LCM(21920,21938) = ( 21920 × 21938) / 2
LCM(21920,21938) = 480880960 / 2
LCM(21920,21938) = 240440480

Least Common Multiple (LCM) of 21920 and 21938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21920 and 21938. First we will calculate the prime factors of 21920 and 21938.

Prime Factorization of 21920

Prime Factorization of 21938

Now multiplying the highest exponent prime factors to calculate the LCM of 21920 and 21938.

LCM(21920,21938) = 2⁵ × 5¹ × 137¹ × 7¹ × 1567¹
LCM(21920,21938) = 240440480