What is the Least Common Multiple of 16725 and 16743?

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 16743 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 16743, than apply into the LCM equation.

GCF(16725,16743) = 3
LCM(16725,16743) = ( 16725 × 16743) / 3
LCM(16725,16743) = 280026675 / 3
LCM(16725,16743) = 93342225

Least Common Multiple (LCM) of 16725 and 16743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16725 and 16743. First we will calculate the prime factors of 16725 and 16743.

Prime Factorization of 16725

Prime Factorization of 16743

Now multiplying the highest exponent prime factors to calculate the LCM of 16725 and 16743.

LCM(16725,16743) = 3¹ × 5² × 223¹ × 5581¹
LCM(16725,16743) = 93342225