What is the Least Common Multiple of 90266 and 90273?

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 90266 and 90273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90266 and 90273, than apply into the LCM equation.

GCF(90266,90273) = 1
LCM(90266,90273) = ( 90266 × 90273) / 1
LCM(90266,90273) = 8148582618 / 1
LCM(90266,90273) = 8148582618

Least Common Multiple (LCM) of 90266 and 90273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90266 and 90273. First we will calculate the prime factors of 90266 and 90273.

Prime Factorization of 90266

Prime Factorization of 90273

Now multiplying the highest exponent prime factors to calculate the LCM of 90266 and 90273.

LCM(90266,90273) = 2¹ × 11² × 373¹ × 3¹ × 30091¹
LCM(90266,90273) = 8148582618