What is the Least Common Multiple of 14823 and 14841?

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 14823 and 14841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14823 and 14841, than apply into the LCM equation.

GCF(14823,14841) = 9
LCM(14823,14841) = ( 14823 × 14841) / 9
LCM(14823,14841) = 219988143 / 9
LCM(14823,14841) = 24443127

Least Common Multiple (LCM) of 14823 and 14841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14823 and 14841. First we will calculate the prime factors of 14823 and 14841.

Prime Factorization of 14823

Prime Factorization of 14841

Now multiplying the highest exponent prime factors to calculate the LCM of 14823 and 14841.

LCM(14823,14841) = 3⁵ × 61¹ × 17¹ × 97¹
LCM(14823,14841) = 24443127