What is the Least Common Multiple of 17586 and 17590?

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 17586 and 17590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17586 and 17590, than apply into the LCM equation.

GCF(17586,17590) = 2
LCM(17586,17590) = ( 17586 × 17590) / 2
LCM(17586,17590) = 309337740 / 2
LCM(17586,17590) = 154668870

Least Common Multiple (LCM) of 17586 and 17590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17586 and 17590. First we will calculate the prime factors of 17586 and 17590.

Prime Factorization of 17586

Prime Factorization of 17590

Now multiplying the highest exponent prime factors to calculate the LCM of 17586 and 17590.

LCM(17586,17590) = 2¹ × 3² × 977¹ × 5¹ × 1759¹
LCM(17586,17590) = 154668870