What is the Least Common Multiple of 16440 and 16444?

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 16440 and 16444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16440 and 16444, than apply into the LCM equation.

GCF(16440,16444) = 4
LCM(16440,16444) = ( 16440 × 16444) / 4
LCM(16440,16444) = 270339360 / 4
LCM(16440,16444) = 67584840

Least Common Multiple (LCM) of 16440 and 16444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16440 and 16444. First we will calculate the prime factors of 16440 and 16444.

Prime Factorization of 16440

Prime Factorization of 16444

Now multiplying the highest exponent prime factors to calculate the LCM of 16440 and 16444.

LCM(16440,16444) = 2³ × 3¹ × 5¹ × 137¹ × 4111¹
LCM(16440,16444) = 67584840