What is the Least Common Multiple of 90056 and 90065?

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 90056 and 90065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90056 and 90065, than apply into the LCM equation.

GCF(90056,90065) = 1
LCM(90056,90065) = ( 90056 × 90065) / 1
LCM(90056,90065) = 8110893640 / 1
LCM(90056,90065) = 8110893640

Least Common Multiple (LCM) of 90056 and 90065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90056 and 90065. First we will calculate the prime factors of 90056 and 90065.

Prime Factorization of 90056

Prime Factorization of 90065

Now multiplying the highest exponent prime factors to calculate the LCM of 90056 and 90065.

LCM(90056,90065) = 2³ × 11257¹ × 5¹ × 18013¹
LCM(90056,90065) = 8110893640