What is the Least Common Multiple of 21872 and 21885?

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 21872 and 21885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21872 and 21885, than apply into the LCM equation.

GCF(21872,21885) = 1
LCM(21872,21885) = ( 21872 × 21885) / 1
LCM(21872,21885) = 478668720 / 1
LCM(21872,21885) = 478668720

Least Common Multiple (LCM) of 21872 and 21885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21872 and 21885. First we will calculate the prime factors of 21872 and 21885.

Prime Factorization of 21872

Prime Factorization of 21885

Now multiplying the highest exponent prime factors to calculate the LCM of 21872 and 21885.

LCM(21872,21885) = 2⁴ × 1367¹ × 3¹ × 5¹ × 1459¹
LCM(21872,21885) = 478668720