What is the Least Common Multiple of 90900 and 90908?

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 90900 and 90908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90900 and 90908, than apply into the LCM equation.

GCF(90900,90908) = 4
LCM(90900,90908) = ( 90900 × 90908) / 4
LCM(90900,90908) = 8263537200 / 4
LCM(90900,90908) = 2065884300

Least Common Multiple (LCM) of 90900 and 90908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90900 and 90908. First we will calculate the prime factors of 90900 and 90908.

Prime Factorization of 90900

Prime Factorization of 90908

Now multiplying the highest exponent prime factors to calculate the LCM of 90900 and 90908.

LCM(90900,90908) = 2² × 3² × 5² × 101¹ × 22727¹
LCM(90900,90908) = 2065884300