What is the Least Common Multiple of 45846 and 45858?

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 45846 and 45858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45846 and 45858, than apply into the LCM equation.

GCF(45846,45858) = 6
LCM(45846,45858) = ( 45846 × 45858) / 6
LCM(45846,45858) = 2102405868 / 6
LCM(45846,45858) = 350400978

Least Common Multiple (LCM) of 45846 and 45858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45846 and 45858. First we will calculate the prime factors of 45846 and 45858.

Prime Factorization of 45846

Prime Factorization of 45858

Now multiplying the highest exponent prime factors to calculate the LCM of 45846 and 45858.

LCM(45846,45858) = 2¹ × 3⁴ × 283¹ × 7643¹
LCM(45846,45858) = 350400978