What is the Least Common Multiple of 47375 and 47389?

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 47375 and 47389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47375 and 47389, than apply into the LCM equation.

GCF(47375,47389) = 1
LCM(47375,47389) = ( 47375 × 47389) / 1
LCM(47375,47389) = 2245053875 / 1
LCM(47375,47389) = 2245053875

Least Common Multiple (LCM) of 47375 and 47389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47375 and 47389. First we will calculate the prime factors of 47375 and 47389.

Prime Factorization of 47375

Prime Factorization of 47389

Now multiplying the highest exponent prime factors to calculate the LCM of 47375 and 47389.

LCM(47375,47389) = 5³ × 379¹ × 47389¹
LCM(47375,47389) = 2245053875