What is the Least Common Multiple of 90175 and 90180?

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 90175 and 90180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90175 and 90180, than apply into the LCM equation.

GCF(90175,90180) = 5
LCM(90175,90180) = ( 90175 × 90180) / 5
LCM(90175,90180) = 8131981500 / 5
LCM(90175,90180) = 1626396300

Least Common Multiple (LCM) of 90175 and 90180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90175 and 90180. First we will calculate the prime factors of 90175 and 90180.

Prime Factorization of 90175

Prime Factorization of 90180

Now multiplying the highest exponent prime factors to calculate the LCM of 90175 and 90180.

LCM(90175,90180) = 5² × 3607¹ × 2² × 3³ × 167¹
LCM(90175,90180) = 1626396300