What is the Least Common Multiple of 44460 and 44474?

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 44460 and 44474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44460 and 44474, than apply into the LCM equation.

GCF(44460,44474) = 2
LCM(44460,44474) = ( 44460 × 44474) / 2
LCM(44460,44474) = 1977314040 / 2
LCM(44460,44474) = 988657020

Least Common Multiple (LCM) of 44460 and 44474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44460 and 44474. First we will calculate the prime factors of 44460 and 44474.

Prime Factorization of 44460

Prime Factorization of 44474

Now multiplying the highest exponent prime factors to calculate the LCM of 44460 and 44474.

LCM(44460,44474) = 2² × 3² × 5¹ × 13¹ × 19¹ × 37¹ × 601¹
LCM(44460,44474) = 988657020