What is the Least Common Multiple of 72828 and 72846?

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 72828 and 72846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72828 and 72846, than apply into the LCM equation.

GCF(72828,72846) = 18
LCM(72828,72846) = ( 72828 × 72846) / 18
LCM(72828,72846) = 5305228488 / 18
LCM(72828,72846) = 294734916

Least Common Multiple (LCM) of 72828 and 72846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72828 and 72846. First we will calculate the prime factors of 72828 and 72846.

Prime Factorization of 72828

Prime Factorization of 72846

Now multiplying the highest exponent prime factors to calculate the LCM of 72828 and 72846.

LCM(72828,72846) = 2² × 3³ × 7¹ × 17² × 19¹ × 71¹
LCM(72828,72846) = 294734916