What is the Least Common Multiple of 29823 and 29841?

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 29823 and 29841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29823 and 29841, than apply into the LCM equation.

GCF(29823,29841) = 3
LCM(29823,29841) = ( 29823 × 29841) / 3
LCM(29823,29841) = 889948143 / 3
LCM(29823,29841) = 296649381

Least Common Multiple (LCM) of 29823 and 29841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29823 and 29841. First we will calculate the prime factors of 29823 and 29841.

Prime Factorization of 29823

Prime Factorization of 29841

Now multiplying the highest exponent prime factors to calculate the LCM of 29823 and 29841.

LCM(29823,29841) = 3¹ × 9941¹ × 7³ × 29¹
LCM(29823,29841) = 296649381