What is the Least Common Multiple of 90259 and 90267?

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 90259 and 90267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90259 and 90267, than apply into the LCM equation.

GCF(90259,90267) = 1
LCM(90259,90267) = ( 90259 × 90267) / 1
LCM(90259,90267) = 8147409153 / 1
LCM(90259,90267) = 8147409153

Least Common Multiple (LCM) of 90259 and 90267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90259 and 90267. First we will calculate the prime factors of 90259 and 90267.

Prime Factorization of 90259

Prime Factorization of 90267

Now multiplying the highest exponent prime factors to calculate the LCM of 90259 and 90267.

LCM(90259,90267) = 13¹ × 53¹ × 131¹ × 3¹ × 30089¹
LCM(90259,90267) = 8147409153