What is the Least Common Multiple of 90174 and 90194?

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 90174 and 90194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90174 and 90194, than apply into the LCM equation.

GCF(90174,90194) = 2
LCM(90174,90194) = ( 90174 × 90194) / 2
LCM(90174,90194) = 8133153756 / 2
LCM(90174,90194) = 4066576878

Least Common Multiple (LCM) of 90174 and 90194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90174 and 90194. First we will calculate the prime factors of 90174 and 90194.

Prime Factorization of 90174

Prime Factorization of 90194

Now multiplying the highest exponent prime factors to calculate the LCM of 90174 and 90194.

LCM(90174,90194) = 2¹ × 3¹ × 7¹ × 19¹ × 113¹ × 13¹ × 3469¹
LCM(90174,90194) = 4066576878