What is the Least Common Multiple of 75375 and 75389?

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 75375 and 75389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75375 and 75389, than apply into the LCM equation.

GCF(75375,75389) = 1
LCM(75375,75389) = ( 75375 × 75389) / 1
LCM(75375,75389) = 5682445875 / 1
LCM(75375,75389) = 5682445875

Least Common Multiple (LCM) of 75375 and 75389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75375 and 75389. First we will calculate the prime factors of 75375 and 75389.

Prime Factorization of 75375

Prime Factorization of 75389

Now multiplying the highest exponent prime factors to calculate the LCM of 75375 and 75389.

LCM(75375,75389) = 3² × 5³ × 67¹ × 75389¹
LCM(75375,75389) = 5682445875