What is the Least Common Multiple of 90168 and 90178?

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 90178 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 90178, than apply into the LCM equation.

GCF(90168,90178) = 2
LCM(90168,90178) = ( 90168 × 90178) / 2
LCM(90168,90178) = 8131169904 / 2
LCM(90168,90178) = 4065584952

Least Common Multiple (LCM) of 90168 and 90178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90168 and 90178. First we will calculate the prime factors of 90168 and 90178.

Prime Factorization of 90168

Prime Factorization of 90178

Now multiplying the highest exponent prime factors to calculate the LCM of 90168 and 90178.

LCM(90168,90178) = 2³ × 3¹ × 13¹ × 17² × 11¹ × 4099¹
LCM(90168,90178) = 4065584952