What is the Least Common Multiple of 16860 and 16875?

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 16860 and 16875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16860 and 16875, than apply into the LCM equation.

GCF(16860,16875) = 15
LCM(16860,16875) = ( 16860 × 16875) / 15
LCM(16860,16875) = 284512500 / 15
LCM(16860,16875) = 18967500

Least Common Multiple (LCM) of 16860 and 16875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16860 and 16875. First we will calculate the prime factors of 16860 and 16875.

Prime Factorization of 16860

Prime Factorization of 16875

Now multiplying the highest exponent prime factors to calculate the LCM of 16860 and 16875.

LCM(16860,16875) = 2² × 3³ × 5⁴ × 281¹
LCM(16860,16875) = 18967500