What is the Least Common Multiple of 90225 and 90238?

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 90238 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 90238, than apply into the LCM equation.

GCF(90225,90238) = 1
LCM(90225,90238) = ( 90225 × 90238) / 1
LCM(90225,90238) = 8141723550 / 1
LCM(90225,90238) = 8141723550

Least Common Multiple (LCM) of 90225 and 90238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90225 and 90238. First we will calculate the prime factors of 90225 and 90238.

Prime Factorization of 90225

Prime Factorization of 90238

Now multiplying the highest exponent prime factors to calculate the LCM of 90225 and 90238.

LCM(90225,90238) = 3² × 5² × 401¹ × 2¹ × 45119¹
LCM(90225,90238) = 8141723550