What is the Least Common Multiple of 27375 and 27389?

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 27375 and 27389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27375 and 27389, than apply into the LCM equation.

GCF(27375,27389) = 1
LCM(27375,27389) = ( 27375 × 27389) / 1
LCM(27375,27389) = 749773875 / 1
LCM(27375,27389) = 749773875

Least Common Multiple (LCM) of 27375 and 27389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27375 and 27389. First we will calculate the prime factors of 27375 and 27389.

Prime Factorization of 27375

Prime Factorization of 27389

Now multiplying the highest exponent prime factors to calculate the LCM of 27375 and 27389.

LCM(27375,27389) = 3¹ × 5³ × 73¹ × 61¹ × 449¹
LCM(27375,27389) = 749773875