What is the Least Common Multiple of 5852 and 5858?

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 5852 and 5858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5852 and 5858, than apply into the LCM equation.

GCF(5852,5858) = 2
LCM(5852,5858) = ( 5852 × 5858) / 2
LCM(5852,5858) = 34281016 / 2
LCM(5852,5858) = 17140508

Least Common Multiple (LCM) of 5852 and 5858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5852 and 5858. First we will calculate the prime factors of 5852 and 5858.

Prime Factorization of 5852

Prime Factorization of 5858

Now multiplying the highest exponent prime factors to calculate the LCM of 5852 and 5858.

LCM(5852,5858) = 2² × 7¹ × 11¹ × 19¹ × 29¹ × 101¹
LCM(5852,5858) = 17140508