What is the Least Common Multiple of 5805 and 5823?

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 5823 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 5823, than apply into the LCM equation.

GCF(5805,5823) = 9
LCM(5805,5823) = ( 5805 × 5823) / 9
LCM(5805,5823) = 33802515 / 9
LCM(5805,5823) = 3755835

Least Common Multiple (LCM) of 5805 and 5823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5805 and 5823. First we will calculate the prime factors of 5805 and 5823.

Prime Factorization of 5805

Prime Factorization of 5823

Now multiplying the highest exponent prime factors to calculate the LCM of 5805 and 5823.

LCM(5805,5823) = 3³ × 5¹ × 43¹ × 647¹
LCM(5805,5823) = 3755835