What is the Least Common Multiple of 16440 and 16451?

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 16451 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 16451, than apply into the LCM equation.

GCF(16440,16451) = 1
LCM(16440,16451) = ( 16440 × 16451) / 1
LCM(16440,16451) = 270454440 / 1
LCM(16440,16451) = 270454440

Least Common Multiple (LCM) of 16440 and 16451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16440 and 16451. First we will calculate the prime factors of 16440 and 16451.

Prime Factorization of 16440

Prime Factorization of 16451

Now multiplying the highest exponent prime factors to calculate the LCM of 16440 and 16451.

LCM(16440,16451) = 2³ × 3¹ × 5¹ × 137¹ × 16451¹
LCM(16440,16451) = 270454440