What is the Least Common Multiple of 90816 and 90822?

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 90816 and 90822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90816 and 90822, than apply into the LCM equation.

GCF(90816,90822) = 6
LCM(90816,90822) = ( 90816 × 90822) / 6
LCM(90816,90822) = 8248090752 / 6
LCM(90816,90822) = 1374681792

Least Common Multiple (LCM) of 90816 and 90822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90816 and 90822. First we will calculate the prime factors of 90816 and 90822.

Prime Factorization of 90816

Prime Factorization of 90822

Now multiplying the highest exponent prime factors to calculate the LCM of 90816 and 90822.

LCM(90816,90822) = 2⁶ × 3¹ × 11¹ × 43¹ × 15137¹
LCM(90816,90822) = 1374681792