What is the Least Common Multiple of 90180 and 90184?

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 90180 and 90184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90180 and 90184, than apply into the LCM equation.

GCF(90180,90184) = 4
LCM(90180,90184) = ( 90180 × 90184) / 4
LCM(90180,90184) = 8132793120 / 4
LCM(90180,90184) = 2033198280

Least Common Multiple (LCM) of 90180 and 90184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90180 and 90184. First we will calculate the prime factors of 90180 and 90184.

Prime Factorization of 90180

Prime Factorization of 90184

Now multiplying the highest exponent prime factors to calculate the LCM of 90180 and 90184.

LCM(90180,90184) = 2³ × 3³ × 5¹ × 167¹ × 11273¹
LCM(90180,90184) = 2033198280