What is the Least Common Multiple of 44574 and 44580?

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 44574 and 44580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44574 and 44580, than apply into the LCM equation.

GCF(44574,44580) = 6
LCM(44574,44580) = ( 44574 × 44580) / 6
LCM(44574,44580) = 1987108920 / 6
LCM(44574,44580) = 331184820

Least Common Multiple (LCM) of 44574 and 44580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44574 and 44580. First we will calculate the prime factors of 44574 and 44580.

Prime Factorization of 44574

Prime Factorization of 44580

Now multiplying the highest exponent prime factors to calculate the LCM of 44574 and 44580.

LCM(44574,44580) = 2² × 3¹ × 17¹ × 19¹ × 23¹ × 5¹ × 743¹
LCM(44574,44580) = 331184820