What is the Least Common Multiple of 90259 and 90264?

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 90264 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 90264, than apply into the LCM equation.

GCF(90259,90264) = 1
LCM(90259,90264) = ( 90259 × 90264) / 1
LCM(90259,90264) = 8147138376 / 1
LCM(90259,90264) = 8147138376

Least Common Multiple (LCM) of 90259 and 90264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90259 and 90264. First we will calculate the prime factors of 90259 and 90264.

Prime Factorization of 90259

Prime Factorization of 90264

Now multiplying the highest exponent prime factors to calculate the LCM of 90259 and 90264.

LCM(90259,90264) = 13¹ × 53¹ × 131¹ × 2³ × 3¹ × 3761¹
LCM(90259,90264) = 8147138376