What is the Least Common Multiple of 4375 and 4389?

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 4375 and 4389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4375 and 4389, than apply into the LCM equation.

GCF(4375,4389) = 7
LCM(4375,4389) = ( 4375 × 4389) / 7
LCM(4375,4389) = 19201875 / 7
LCM(4375,4389) = 2743125

Least Common Multiple (LCM) of 4375 and 4389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4375 and 4389. First we will calculate the prime factors of 4375 and 4389.

Prime Factorization of 4375

Prime Factorization of 4389

Now multiplying the highest exponent prime factors to calculate the LCM of 4375 and 4389.

LCM(4375,4389) = 5⁴ × 7¹ × 3¹ × 11¹ × 19¹
LCM(4375,4389) = 2743125