What is the Least Common Multiple of 74440 and 74450?

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 74440 and 74450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74440 and 74450, than apply into the LCM equation.

GCF(74440,74450) = 10
LCM(74440,74450) = ( 74440 × 74450) / 10
LCM(74440,74450) = 5542058000 / 10
LCM(74440,74450) = 554205800

Least Common Multiple (LCM) of 74440 and 74450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74440 and 74450. First we will calculate the prime factors of 74440 and 74450.

Prime Factorization of 74440

Prime Factorization of 74450

Now multiplying the highest exponent prime factors to calculate the LCM of 74440 and 74450.

LCM(74440,74450) = 2³ × 5² × 1861¹ × 1489¹
LCM(74440,74450) = 554205800