What is the Least Common Multiple of 86325 and 86344?

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 86325 and 86344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86325 and 86344, than apply into the LCM equation.

GCF(86325,86344) = 1
LCM(86325,86344) = ( 86325 × 86344) / 1
LCM(86325,86344) = 7453645800 / 1
LCM(86325,86344) = 7453645800

Least Common Multiple (LCM) of 86325 and 86344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86325 and 86344. First we will calculate the prime factors of 86325 and 86344.

Prime Factorization of 86325

Prime Factorization of 86344

Now multiplying the highest exponent prime factors to calculate the LCM of 86325 and 86344.

LCM(86325,86344) = 3¹ × 5² × 1151¹ × 2³ × 43¹ × 251¹
LCM(86325,86344) = 7453645800