What is the Least Common Multiple of 5854 and 5873?

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 5854 and 5873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5854 and 5873, than apply into the LCM equation.

GCF(5854,5873) = 1
LCM(5854,5873) = ( 5854 × 5873) / 1
LCM(5854,5873) = 34380542 / 1
LCM(5854,5873) = 34380542

Least Common Multiple (LCM) of 5854 and 5873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5854 and 5873. First we will calculate the prime factors of 5854 and 5873.

Prime Factorization of 5854

Prime Factorization of 5873

Now multiplying the highest exponent prime factors to calculate the LCM of 5854 and 5873.

LCM(5854,5873) = 2¹ × 2927¹ × 7¹ × 839¹
LCM(5854,5873) = 34380542