What is the Least Common Multiple of 21792 and 21805?

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 21792 and 21805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21792 and 21805, than apply into the LCM equation.

GCF(21792,21805) = 1
LCM(21792,21805) = ( 21792 × 21805) / 1
LCM(21792,21805) = 475174560 / 1
LCM(21792,21805) = 475174560

Least Common Multiple (LCM) of 21792 and 21805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21792 and 21805. First we will calculate the prime factors of 21792 and 21805.

Prime Factorization of 21792

Prime Factorization of 21805

Now multiplying the highest exponent prime factors to calculate the LCM of 21792 and 21805.

LCM(21792,21805) = 2⁵ × 3¹ × 227¹ × 5¹ × 7² × 89¹
LCM(21792,21805) = 475174560