What is the Least Common Multiple of 90178 and 90190?

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 90178 and 90190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90178 and 90190, than apply into the LCM equation.

GCF(90178,90190) = 2
LCM(90178,90190) = ( 90178 × 90190) / 2
LCM(90178,90190) = 8133153820 / 2
LCM(90178,90190) = 4066576910

Least Common Multiple (LCM) of 90178 and 90190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90178 and 90190. First we will calculate the prime factors of 90178 and 90190.

Prime Factorization of 90178

Prime Factorization of 90190

Now multiplying the highest exponent prime factors to calculate the LCM of 90178 and 90190.

LCM(90178,90190) = 2¹ × 11¹ × 4099¹ × 5¹ × 29¹ × 311¹
LCM(90178,90190) = 4066576910