What is the Least Common Multiple of 80828 and 80848?

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 80828 and 80848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80828 and 80848, than apply into the LCM equation.

GCF(80828,80848) = 4
LCM(80828,80848) = ( 80828 × 80848) / 4
LCM(80828,80848) = 6534782144 / 4
LCM(80828,80848) = 1633695536

Least Common Multiple (LCM) of 80828 and 80848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80828 and 80848. First we will calculate the prime factors of 80828 and 80848.

Prime Factorization of 80828

Prime Factorization of 80848

Now multiplying the highest exponent prime factors to calculate the LCM of 80828 and 80848.

LCM(80828,80848) = 2⁴ × 11² × 167¹ × 31¹ × 163¹
LCM(80828,80848) = 1633695536