What is the Least Common Multiple of 11375 and 11389?

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 11375 and 11389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11375 and 11389, than apply into the LCM equation.

GCF(11375,11389) = 7
LCM(11375,11389) = ( 11375 × 11389) / 7
LCM(11375,11389) = 129549875 / 7
LCM(11375,11389) = 18507125

Least Common Multiple (LCM) of 11375 and 11389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11375 and 11389. First we will calculate the prime factors of 11375 and 11389.

Prime Factorization of 11375

Prime Factorization of 11389

Now multiplying the highest exponent prime factors to calculate the LCM of 11375 and 11389.

LCM(11375,11389) = 5³ × 7¹ × 13¹ × 1627¹
LCM(11375,11389) = 18507125