What is the Least Common Multiple of 16725 and 16742?

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 16742 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 16742, than apply into the LCM equation.

GCF(16725,16742) = 1
LCM(16725,16742) = ( 16725 × 16742) / 1
LCM(16725,16742) = 280009950 / 1
LCM(16725,16742) = 280009950

Least Common Multiple (LCM) of 16725 and 16742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16725 and 16742. First we will calculate the prime factors of 16725 and 16742.

Prime Factorization of 16725

Prime Factorization of 16742

Now multiplying the highest exponent prime factors to calculate the LCM of 16725 and 16742.

LCM(16725,16742) = 3¹ × 5² × 223¹ × 2¹ × 11¹ × 761¹
LCM(16725,16742) = 280009950