What is the Least Common Multiple of 80832 and 80846?

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 80832 and 80846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80832 and 80846, than apply into the LCM equation.

GCF(80832,80846) = 2
LCM(80832,80846) = ( 80832 × 80846) / 2
LCM(80832,80846) = 6534943872 / 2
LCM(80832,80846) = 3267471936

Least Common Multiple (LCM) of 80832 and 80846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80832 and 80846. First we will calculate the prime factors of 80832 and 80846.

Prime Factorization of 80832

Prime Factorization of 80846

Now multiplying the highest exponent prime factors to calculate the LCM of 80832 and 80846.

LCM(80832,80846) = 2⁶ × 3¹ × 421¹ × 40423¹
LCM(80832,80846) = 3267471936