What is the Least Common Multiple of 16440 and 16454?

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 16454 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 16454, than apply into the LCM equation.

GCF(16440,16454) = 2
LCM(16440,16454) = ( 16440 × 16454) / 2
LCM(16440,16454) = 270503760 / 2
LCM(16440,16454) = 135251880

Least Common Multiple (LCM) of 16440 and 16454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16440 and 16454. First we will calculate the prime factors of 16440 and 16454.

Prime Factorization of 16440

Prime Factorization of 16454

Now multiplying the highest exponent prime factors to calculate the LCM of 16440 and 16454.

LCM(16440,16454) = 2³ × 3¹ × 5¹ × 137¹ × 19¹ × 433¹
LCM(16440,16454) = 135251880