What is the Least Common Multiple of 74574 and 74589?

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 74574 and 74589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74574 and 74589, than apply into the LCM equation.

GCF(74574,74589) = 3
LCM(74574,74589) = ( 74574 × 74589) / 3
LCM(74574,74589) = 5562400086 / 3
LCM(74574,74589) = 1854133362

Least Common Multiple (LCM) of 74574 and 74589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74574 and 74589. First we will calculate the prime factors of 74574 and 74589.

Prime Factorization of 74574

Prime Factorization of 74589

Now multiplying the highest exponent prime factors to calculate the LCM of 74574 and 74589.

LCM(74574,74589) = 2¹ × 3³ × 1381¹ × 23² × 47¹
LCM(74574,74589) = 1854133362