What is the Least Common Multiple of 16725 and 16734?

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 16725 and 16734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16725 and 16734, than apply into the LCM equation.

GCF(16725,16734) = 3
LCM(16725,16734) = ( 16725 × 16734) / 3
LCM(16725,16734) = 279876150 / 3
LCM(16725,16734) = 93292050

Least Common Multiple (LCM) of 16725 and 16734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16725 and 16734. First we will calculate the prime factors of 16725 and 16734.

Prime Factorization of 16725

Prime Factorization of 16734

Now multiplying the highest exponent prime factors to calculate the LCM of 16725 and 16734.

LCM(16725,16734) = 3¹ × 5² × 223¹ × 2¹ × 2789¹
LCM(16725,16734) = 93292050