What is the Least Common Multiple of 24828 and 24843?

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 24828 and 24843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24828 and 24843, than apply into the LCM equation.

GCF(24828,24843) = 3
LCM(24828,24843) = ( 24828 × 24843) / 3
LCM(24828,24843) = 616802004 / 3
LCM(24828,24843) = 205600668

Least Common Multiple (LCM) of 24828 and 24843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24828 and 24843. First we will calculate the prime factors of 24828 and 24843.

Prime Factorization of 24828

Prime Factorization of 24843

Now multiplying the highest exponent prime factors to calculate the LCM of 24828 and 24843.

LCM(24828,24843) = 2² × 3¹ × 2069¹ × 7² × 13²
LCM(24828,24843) = 205600668