What is the Least Common Multiple of 90828 and 90848?

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 90828 and 90848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90828 and 90848, than apply into the LCM equation.

GCF(90828,90848) = 4
LCM(90828,90848) = ( 90828 × 90848) / 4
LCM(90828,90848) = 8251542144 / 4
LCM(90828,90848) = 2062885536

Least Common Multiple (LCM) of 90828 and 90848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90828 and 90848. First we will calculate the prime factors of 90828 and 90848.

Prime Factorization of 90828

Prime Factorization of 90848

Now multiplying the highest exponent prime factors to calculate the LCM of 90828 and 90848.

LCM(90828,90848) = 2⁵ × 3³ × 29² × 17¹ × 167¹
LCM(90828,90848) = 2062885536