What is the Least Common Multiple of 5805 and 5819?

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 5805 and 5819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5805 and 5819, than apply into the LCM equation.

GCF(5805,5819) = 1
LCM(5805,5819) = ( 5805 × 5819) / 1
LCM(5805,5819) = 33779295 / 1
LCM(5805,5819) = 33779295

Least Common Multiple (LCM) of 5805 and 5819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5805 and 5819. First we will calculate the prime factors of 5805 and 5819.

Prime Factorization of 5805

Prime Factorization of 5819

Now multiplying the highest exponent prime factors to calculate the LCM of 5805 and 5819.

LCM(5805,5819) = 3³ × 5¹ × 43¹ × 11¹ × 23²
LCM(5805,5819) = 33779295