What is the Least Common Multiple of 90168 and 90186?

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 90168 and 90186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90168 and 90186, than apply into the LCM equation.

GCF(90168,90186) = 6
LCM(90168,90186) = ( 90168 × 90186) / 6
LCM(90168,90186) = 8131891248 / 6
LCM(90168,90186) = 1355315208

Least Common Multiple (LCM) of 90168 and 90186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90168 and 90186. First we will calculate the prime factors of 90168 and 90186.

Prime Factorization of 90168

Prime Factorization of 90186

Now multiplying the highest exponent prime factors to calculate the LCM of 90168 and 90186.

LCM(90168,90186) = 2³ × 3¹ × 13¹ × 17² × 15031¹
LCM(90168,90186) = 1355315208