What is the Least Common Multiple of 90816 and 90828?

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 90828 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 90828, than apply into the LCM equation.

GCF(90816,90828) = 12
LCM(90816,90828) = ( 90816 × 90828) / 12
LCM(90816,90828) = 8248635648 / 12
LCM(90816,90828) = 687386304

Least Common Multiple (LCM) of 90816 and 90828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90816 and 90828. First we will calculate the prime factors of 90816 and 90828.

Prime Factorization of 90816

Prime Factorization of 90828

Now multiplying the highest exponent prime factors to calculate the LCM of 90816 and 90828.

LCM(90816,90828) = 2⁶ × 3³ × 11¹ × 43¹ × 29²
LCM(90816,90828) = 687386304