What is the Least Common Multiple of 45855 and 45874?

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 45855 and 45874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45855 and 45874, than apply into the LCM equation.

GCF(45855,45874) = 1
LCM(45855,45874) = ( 45855 × 45874) / 1
LCM(45855,45874) = 2103552270 / 1
LCM(45855,45874) = 2103552270

Least Common Multiple (LCM) of 45855 and 45874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45855 and 45874. First we will calculate the prime factors of 45855 and 45874.

Prime Factorization of 45855

Prime Factorization of 45874

Now multiplying the highest exponent prime factors to calculate the LCM of 45855 and 45874.

LCM(45855,45874) = 3² × 5¹ × 1019¹ × 2¹ × 22937¹
LCM(45855,45874) = 2103552270