What is the Least Common Multiple of 90822 and 90831?

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 90822 and 90831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90822 and 90831, than apply into the LCM equation.

GCF(90822,90831) = 3
LCM(90822,90831) = ( 90822 × 90831) / 3
LCM(90822,90831) = 8249453082 / 3
LCM(90822,90831) = 2749817694

Least Common Multiple (LCM) of 90822 and 90831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90822 and 90831. First we will calculate the prime factors of 90822 and 90831.

Prime Factorization of 90822

Prime Factorization of 90831

Now multiplying the highest exponent prime factors to calculate the LCM of 90822 and 90831.

LCM(90822,90831) = 2¹ × 3¹ × 15137¹ × 13¹ × 17¹ × 137¹
LCM(90822,90831) = 2749817694