What is the Least Common Multiple of 21435 and 21444?

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 21435 and 21444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21435 and 21444, than apply into the LCM equation.

GCF(21435,21444) = 3
LCM(21435,21444) = ( 21435 × 21444) / 3
LCM(21435,21444) = 459652140 / 3
LCM(21435,21444) = 153217380

Least Common Multiple (LCM) of 21435 and 21444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21435 and 21444. First we will calculate the prime factors of 21435 and 21444.

Prime Factorization of 21435

Prime Factorization of 21444

Now multiplying the highest exponent prime factors to calculate the LCM of 21435 and 21444.

LCM(21435,21444) = 3¹ × 5¹ × 1429¹ × 2² × 1787¹
LCM(21435,21444) = 153217380