What is the Least Common Multiple of 35375 and 35389?

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 35375 and 35389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35375 and 35389, than apply into the LCM equation.

GCF(35375,35389) = 1
LCM(35375,35389) = ( 35375 × 35389) / 1
LCM(35375,35389) = 1251885875 / 1
LCM(35375,35389) = 1251885875

Least Common Multiple (LCM) of 35375 and 35389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35375 and 35389. First we will calculate the prime factors of 35375 and 35389.

Prime Factorization of 35375

Prime Factorization of 35389

Now multiplying the highest exponent prime factors to calculate the LCM of 35375 and 35389.

LCM(35375,35389) = 5³ × 283¹ × 43¹ × 823¹
LCM(35375,35389) = 1251885875