What is the Least Common Multiple of 16155 and 16175?

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 16155 and 16175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16155 and 16175, than apply into the LCM equation.

GCF(16155,16175) = 5
LCM(16155,16175) = ( 16155 × 16175) / 5
LCM(16155,16175) = 261307125 / 5
LCM(16155,16175) = 52261425

Least Common Multiple (LCM) of 16155 and 16175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16155 and 16175. First we will calculate the prime factors of 16155 and 16175.

Prime Factorization of 16155

Prime Factorization of 16175

Now multiplying the highest exponent prime factors to calculate the LCM of 16155 and 16175.

LCM(16155,16175) = 3² × 5² × 359¹ × 647¹
LCM(16155,16175) = 52261425