What is the Least Common Multiple of 21552 and 21558?

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 21558 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 21558, than apply into the LCM equation.

GCF(21552,21558) = 6
LCM(21552,21558) = ( 21552 × 21558) / 6
LCM(21552,21558) = 464618016 / 6
LCM(21552,21558) = 77436336

Least Common Multiple (LCM) of 21552 and 21558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21552 and 21558. First we will calculate the prime factors of 21552 and 21558.

Prime Factorization of 21552

Prime Factorization of 21558

Now multiplying the highest exponent prime factors to calculate the LCM of 21552 and 21558.

LCM(21552,21558) = 2⁴ × 3¹ × 449¹ × 3593¹
LCM(21552,21558) = 77436336