What is the Least Common Multiple of 16725 and 16741?

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 16741 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 16741, than apply into the LCM equation.

GCF(16725,16741) = 1
LCM(16725,16741) = ( 16725 × 16741) / 1
LCM(16725,16741) = 279993225 / 1
LCM(16725,16741) = 279993225

Least Common Multiple (LCM) of 16725 and 16741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16725 and 16741. First we will calculate the prime factors of 16725 and 16741.

Prime Factorization of 16725

Prime Factorization of 16741

Now multiplying the highest exponent prime factors to calculate the LCM of 16725 and 16741.

LCM(16725,16741) = 3¹ × 5² × 223¹ × 16741¹
LCM(16725,16741) = 279993225