What is the Least Common Multiple of 90208 and 90225?

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 90208 and 90225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90208 and 90225, than apply into the LCM equation.

GCF(90208,90225) = 1
LCM(90208,90225) = ( 90208 × 90225) / 1
LCM(90208,90225) = 8139016800 / 1
LCM(90208,90225) = 8139016800

Least Common Multiple (LCM) of 90208 and 90225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90208 and 90225. First we will calculate the prime factors of 90208 and 90225.

Prime Factorization of 90208

Prime Factorization of 90225

Now multiplying the highest exponent prime factors to calculate the LCM of 90208 and 90225.

LCM(90208,90225) = 2⁵ × 2819¹ × 3² × 5² × 401¹
LCM(90208,90225) = 8139016800