What is the Least Common Multiple of 16458 and 16476?

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 16458 and 16476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16458 and 16476, than apply into the LCM equation.

GCF(16458,16476) = 6
LCM(16458,16476) = ( 16458 × 16476) / 6
LCM(16458,16476) = 271162008 / 6
LCM(16458,16476) = 45193668

Least Common Multiple (LCM) of 16458 and 16476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16458 and 16476. First we will calculate the prime factors of 16458 and 16476.

Prime Factorization of 16458

Prime Factorization of 16476

Now multiplying the highest exponent prime factors to calculate the LCM of 16458 and 16476.

LCM(16458,16476) = 2² × 3¹ × 13¹ × 211¹ × 1373¹
LCM(16458,16476) = 45193668