What is the Least Common Multiple of 45834 and 45846?

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 45834 and 45846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45834 and 45846, than apply into the LCM equation.

GCF(45834,45846) = 6
LCM(45834,45846) = ( 45834 × 45846) / 6
LCM(45834,45846) = 2101305564 / 6
LCM(45834,45846) = 350217594

Least Common Multiple (LCM) of 45834 and 45846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45834 and 45846. First we will calculate the prime factors of 45834 and 45846.

Prime Factorization of 45834

Prime Factorization of 45846

Now multiplying the highest exponent prime factors to calculate the LCM of 45834 and 45846.

LCM(45834,45846) = 2¹ × 3⁴ × 7639¹ × 283¹
LCM(45834,45846) = 350217594