What is the Least Common Multiple of 90505 and 90517?

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 90505 and 90517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90505 and 90517, than apply into the LCM equation.

GCF(90505,90517) = 1
LCM(90505,90517) = ( 90505 × 90517) / 1
LCM(90505,90517) = 8192241085 / 1
LCM(90505,90517) = 8192241085

Least Common Multiple (LCM) of 90505 and 90517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90505 and 90517. First we will calculate the prime factors of 90505 and 90517.

Prime Factorization of 90505

Prime Factorization of 90517

Now multiplying the highest exponent prime factors to calculate the LCM of 90505 and 90517.

LCM(90505,90517) = 5¹ × 23¹ × 787¹ × 7¹ × 67¹ × 193¹
LCM(90505,90517) = 8192241085