What is the Least Common Multiple of 54375 and 54389?

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 54375 and 54389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54375 and 54389, than apply into the LCM equation.

GCF(54375,54389) = 1
LCM(54375,54389) = ( 54375 × 54389) / 1
LCM(54375,54389) = 2957401875 / 1
LCM(54375,54389) = 2957401875

Least Common Multiple (LCM) of 54375 and 54389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54375 and 54389. First we will calculate the prime factors of 54375 and 54389.

Prime Factorization of 54375

Prime Factorization of 54389

Now multiplying the highest exponent prime factors to calculate the LCM of 54375 and 54389.

LCM(54375,54389) = 3¹ × 5⁴ × 29¹ × 137¹ × 397¹
LCM(54375,54389) = 2957401875