What is the Least Common Multiple of 90246 and 90255?

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 90246 and 90255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90246 and 90255, than apply into the LCM equation.

GCF(90246,90255) = 3
LCM(90246,90255) = ( 90246 × 90255) / 3
LCM(90246,90255) = 8145152730 / 3
LCM(90246,90255) = 2715050910

Least Common Multiple (LCM) of 90246 and 90255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90246 and 90255. First we will calculate the prime factors of 90246 and 90255.

Prime Factorization of 90246

Prime Factorization of 90255

Now multiplying the highest exponent prime factors to calculate the LCM of 90246 and 90255.

LCM(90246,90255) = 2¹ × 3¹ × 13² × 89¹ × 5¹ × 11¹ × 547¹
LCM(90246,90255) = 2715050910