What is the Least Common Multiple of 90269 and 90281?

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 90269 and 90281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90269 and 90281, than apply into the LCM equation.

GCF(90269,90281) = 1
LCM(90269,90281) = ( 90269 × 90281) / 1
LCM(90269,90281) = 8149575589 / 1
LCM(90269,90281) = 8149575589

Least Common Multiple (LCM) of 90269 and 90281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90269 and 90281. First we will calculate the prime factors of 90269 and 90281.

Prime Factorization of 90269

Prime Factorization of 90281

Now multiplying the highest exponent prime factors to calculate the LCM of 90269 and 90281.

LCM(90269,90281) = 19¹ × 4751¹ × 90281¹
LCM(90269,90281) = 8149575589