What is the Least Common Multiple of 90180 and 90198?

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 90198 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 90198, than apply into the LCM equation.

GCF(90180,90198) = 18
LCM(90180,90198) = ( 90180 × 90198) / 18
LCM(90180,90198) = 8134055640 / 18
LCM(90180,90198) = 451891980

Least Common Multiple (LCM) of 90180 and 90198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90180 and 90198. First we will calculate the prime factors of 90180 and 90198.

Prime Factorization of 90180

Prime Factorization of 90198

Now multiplying the highest exponent prime factors to calculate the LCM of 90180 and 90198.

LCM(90180,90198) = 2² × 3³ × 5¹ × 167¹ × 5011¹
LCM(90180,90198) = 451891980