What is the Least Common Multiple of 86864 and 86875?

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 86864 and 86875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86864 and 86875, than apply into the LCM equation.

GCF(86864,86875) = 1
LCM(86864,86875) = ( 86864 × 86875) / 1
LCM(86864,86875) = 7546310000 / 1
LCM(86864,86875) = 7546310000

Least Common Multiple (LCM) of 86864 and 86875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86864 and 86875. First we will calculate the prime factors of 86864 and 86875.

Prime Factorization of 86864

Prime Factorization of 86875

Now multiplying the highest exponent prime factors to calculate the LCM of 86864 and 86875.

LCM(86864,86875) = 2⁴ × 61¹ × 89¹ × 5⁴ × 139¹
LCM(86864,86875) = 7546310000