What is the Least Common Multiple of 38574 and 38589?

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 38574 and 38589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38574 and 38589, than apply into the LCM equation.

GCF(38574,38589) = 3
LCM(38574,38589) = ( 38574 × 38589) / 3
LCM(38574,38589) = 1488532086 / 3
LCM(38574,38589) = 496177362

Least Common Multiple (LCM) of 38574 and 38589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38574 and 38589. First we will calculate the prime factors of 38574 and 38589.

Prime Factorization of 38574

Prime Factorization of 38589

Now multiplying the highest exponent prime factors to calculate the LCM of 38574 and 38589.

LCM(38574,38589) = 2¹ × 3² × 2143¹ × 19¹ × 677¹
LCM(38574,38589) = 496177362