What is the Least Common Multiple of 90257 and 90269?

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 90257 and 90269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90257 and 90269, than apply into the LCM equation.

GCF(90257,90269) = 1
LCM(90257,90269) = ( 90257 × 90269) / 1
LCM(90257,90269) = 8147409133 / 1
LCM(90257,90269) = 8147409133

Least Common Multiple (LCM) of 90257 and 90269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90257 and 90269. First we will calculate the prime factors of 90257 and 90269.

Prime Factorization of 90257

Prime Factorization of 90269

Now multiplying the highest exponent prime factors to calculate the LCM of 90257 and 90269.

LCM(90257,90269) = 43¹ × 2099¹ × 19¹ × 4751¹
LCM(90257,90269) = 8147409133