What is the Least Common Multiple of 16728 and 16746?

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 16728 and 16746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16728 and 16746, than apply into the LCM equation.

GCF(16728,16746) = 6
LCM(16728,16746) = ( 16728 × 16746) / 6
LCM(16728,16746) = 280127088 / 6
LCM(16728,16746) = 46687848

Least Common Multiple (LCM) of 16728 and 16746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16728 and 16746. First we will calculate the prime factors of 16728 and 16746.

Prime Factorization of 16728

Prime Factorization of 16746

Now multiplying the highest exponent prime factors to calculate the LCM of 16728 and 16746.

LCM(16728,16746) = 2³ × 3¹ × 17¹ × 41¹ × 2791¹
LCM(16728,16746) = 46687848