What is the Least Common Multiple of 90165 and 90174?

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 90165 and 90174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90165 and 90174, than apply into the LCM equation.

GCF(90165,90174) = 3
LCM(90165,90174) = ( 90165 × 90174) / 3
LCM(90165,90174) = 8130538710 / 3
LCM(90165,90174) = 2710179570

Least Common Multiple (LCM) of 90165 and 90174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90165 and 90174. First we will calculate the prime factors of 90165 and 90174.

Prime Factorization of 90165

Prime Factorization of 90174

Now multiplying the highest exponent prime factors to calculate the LCM of 90165 and 90174.

LCM(90165,90174) = 3¹ × 5¹ × 6011¹ × 2¹ × 7¹ × 19¹ × 113¹
LCM(90165,90174) = 2710179570