What is the Least Common Multiple of 21552 and 21563?

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 21552 and 21563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21552 and 21563, than apply into the LCM equation.

GCF(21552,21563) = 1
LCM(21552,21563) = ( 21552 × 21563) / 1
LCM(21552,21563) = 464725776 / 1
LCM(21552,21563) = 464725776

Least Common Multiple (LCM) of 21552 and 21563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21552 and 21563. First we will calculate the prime factors of 21552 and 21563.

Prime Factorization of 21552

Prime Factorization of 21563

Now multiplying the highest exponent prime factors to calculate the LCM of 21552 and 21563.

LCM(21552,21563) = 2⁴ × 3¹ × 449¹ × 21563¹
LCM(21552,21563) = 464725776