What is the Least Common Multiple of 90200 and 90216?

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 90200 and 90216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90200 and 90216, than apply into the LCM equation.

GCF(90200,90216) = 8
LCM(90200,90216) = ( 90200 × 90216) / 8
LCM(90200,90216) = 8137483200 / 8
LCM(90200,90216) = 1017185400

Least Common Multiple (LCM) of 90200 and 90216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90200 and 90216. First we will calculate the prime factors of 90200 and 90216.

Prime Factorization of 90200

Prime Factorization of 90216

Now multiplying the highest exponent prime factors to calculate the LCM of 90200 and 90216.

LCM(90200,90216) = 2³ × 5² × 11¹ × 41¹ × 3² × 7¹ × 179¹
LCM(90200,90216) = 1017185400