What is the Least Common Multiple of 88375 and 88389?

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 88375 and 88389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88375 and 88389, than apply into the LCM equation.

GCF(88375,88389) = 7
LCM(88375,88389) = ( 88375 × 88389) / 7
LCM(88375,88389) = 7811377875 / 7
LCM(88375,88389) = 1115911125

Least Common Multiple (LCM) of 88375 and 88389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88375 and 88389. First we will calculate the prime factors of 88375 and 88389.

Prime Factorization of 88375

Prime Factorization of 88389

Now multiplying the highest exponent prime factors to calculate the LCM of 88375 and 88389.

LCM(88375,88389) = 5³ × 7¹ × 101¹ × 3² × 23¹ × 61¹
LCM(88375,88389) = 1115911125