What is the Least Common Multiple of 86875 and 86880?

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 86875 and 86880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86875 and 86880, than apply into the LCM equation.

GCF(86875,86880) = 5
LCM(86875,86880) = ( 86875 × 86880) / 5
LCM(86875,86880) = 7547700000 / 5
LCM(86875,86880) = 1509540000

Least Common Multiple (LCM) of 86875 and 86880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86875 and 86880. First we will calculate the prime factors of 86875 and 86880.

Prime Factorization of 86875

Prime Factorization of 86880

Now multiplying the highest exponent prime factors to calculate the LCM of 86875 and 86880.

LCM(86875,86880) = 5⁴ × 139¹ × 2⁵ × 3¹ × 181¹
LCM(86875,86880) = 1509540000