What is the Least Common Multiple of 90174 and 90183?

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 90183 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 90183, than apply into the LCM equation.

GCF(90174,90183) = 3
LCM(90174,90183) = ( 90174 × 90183) / 3
LCM(90174,90183) = 8132161842 / 3
LCM(90174,90183) = 2710720614

Least Common Multiple (LCM) of 90174 and 90183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90174 and 90183. First we will calculate the prime factors of 90174 and 90183.

Prime Factorization of 90174

Prime Factorization of 90183

Now multiplying the highest exponent prime factors to calculate the LCM of 90174 and 90183.

LCM(90174,90183) = 2¹ × 3¹ × 7¹ × 19¹ × 113¹ × 23¹ × 1307¹
LCM(90174,90183) = 2710720614