What is the Least Common Multiple of 5829 and 5841?

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 5829 and 5841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5829 and 5841, than apply into the LCM equation.

GCF(5829,5841) = 3
LCM(5829,5841) = ( 5829 × 5841) / 3
LCM(5829,5841) = 34047189 / 3
LCM(5829,5841) = 11349063

Least Common Multiple (LCM) of 5829 and 5841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5829 and 5841. First we will calculate the prime factors of 5829 and 5841.

Prime Factorization of 5829

Prime Factorization of 5841

Now multiplying the highest exponent prime factors to calculate the LCM of 5829 and 5841.

LCM(5829,5841) = 3² × 29¹ × 67¹ × 11¹ × 59¹
LCM(5829,5841) = 11349063