What is the Least Common Multiple of 16875 and 16880?

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 16875 and 16880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16875 and 16880, than apply into the LCM equation.

GCF(16875,16880) = 5
LCM(16875,16880) = ( 16875 × 16880) / 5
LCM(16875,16880) = 284850000 / 5
LCM(16875,16880) = 56970000

Least Common Multiple (LCM) of 16875 and 16880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16875 and 16880. First we will calculate the prime factors of 16875 and 16880.

Prime Factorization of 16875

Prime Factorization of 16880

Now multiplying the highest exponent prime factors to calculate the LCM of 16875 and 16880.

LCM(16875,16880) = 3³ × 5⁴ × 2⁴ × 211¹
LCM(16875,16880) = 56970000