What is the Least Common Multiple of 90184 and 90188?

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 90184 and 90188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90184 and 90188, than apply into the LCM equation.

GCF(90184,90188) = 4
LCM(90184,90188) = ( 90184 × 90188) / 4
LCM(90184,90188) = 8133514592 / 4
LCM(90184,90188) = 2033378648

Least Common Multiple (LCM) of 90184 and 90188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90184 and 90188. First we will calculate the prime factors of 90184 and 90188.

Prime Factorization of 90184

Prime Factorization of 90188

Now multiplying the highest exponent prime factors to calculate the LCM of 90184 and 90188.

LCM(90184,90188) = 2³ × 11273¹ × 7¹ × 3221¹
LCM(90184,90188) = 2033378648