What is the Least Common Multiple of 18574 and 18585?

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 18574 and 18585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18574 and 18585, than apply into the LCM equation.

GCF(18574,18585) = 1
LCM(18574,18585) = ( 18574 × 18585) / 1
LCM(18574,18585) = 345197790 / 1
LCM(18574,18585) = 345197790

Least Common Multiple (LCM) of 18574 and 18585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18574 and 18585. First we will calculate the prime factors of 18574 and 18585.

Prime Factorization of 18574

Prime Factorization of 18585

Now multiplying the highest exponent prime factors to calculate the LCM of 18574 and 18585.

LCM(18574,18585) = 2¹ × 37¹ × 251¹ × 3² × 5¹ × 7¹ × 59¹
LCM(18574,18585) = 345197790