What is the Least Common Multiple of 90900 and 90905?

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 90905 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 90905, than apply into the LCM equation.

GCF(90900,90905) = 5
LCM(90900,90905) = ( 90900 × 90905) / 5
LCM(90900,90905) = 8263264500 / 5
LCM(90900,90905) = 1652652900

Least Common Multiple (LCM) of 90900 and 90905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90900 and 90905. First we will calculate the prime factors of 90900 and 90905.

Prime Factorization of 90900

Prime Factorization of 90905

Now multiplying the highest exponent prime factors to calculate the LCM of 90900 and 90905.

LCM(90900,90905) = 2² × 3² × 5² × 101¹ × 18181¹
LCM(90900,90905) = 1652652900