What is the Least Common Multiple of 90225 and 90243?

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 90225 and 90243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90225 and 90243, than apply into the LCM equation.

GCF(90225,90243) = 9
LCM(90225,90243) = ( 90225 × 90243) / 9
LCM(90225,90243) = 8142174675 / 9
LCM(90225,90243) = 904686075

Least Common Multiple (LCM) of 90225 and 90243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90225 and 90243. First we will calculate the prime factors of 90225 and 90243.

Prime Factorization of 90225

Prime Factorization of 90243

Now multiplying the highest exponent prime factors to calculate the LCM of 90225 and 90243.

LCM(90225,90243) = 3² × 5² × 401¹ × 37¹ × 271¹
LCM(90225,90243) = 904686075