What is the Least Common Multiple of 16440 and 16445?

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 16445 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 16445, than apply into the LCM equation.

GCF(16440,16445) = 5
LCM(16440,16445) = ( 16440 × 16445) / 5
LCM(16440,16445) = 270355800 / 5
LCM(16440,16445) = 54071160

Least Common Multiple (LCM) of 16440 and 16445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16440 and 16445. First we will calculate the prime factors of 16440 and 16445.

Prime Factorization of 16440

Prime Factorization of 16445

Now multiplying the highest exponent prime factors to calculate the LCM of 16440 and 16445.

LCM(16440,16445) = 2³ × 3¹ × 5¹ × 137¹ × 11¹ × 13¹ × 23¹
LCM(16440,16445) = 54071160