What is the Least Common Multiple of 5805 and 5813?

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 5813 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 5813, than apply into the LCM equation.

GCF(5805,5813) = 1
LCM(5805,5813) = ( 5805 × 5813) / 1
LCM(5805,5813) = 33744465 / 1
LCM(5805,5813) = 33744465

Least Common Multiple (LCM) of 5805 and 5813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5805 and 5813. First we will calculate the prime factors of 5805 and 5813.

Prime Factorization of 5805

Prime Factorization of 5813

Now multiplying the highest exponent prime factors to calculate the LCM of 5805 and 5813.

LCM(5805,5813) = 3³ × 5¹ × 43¹ × 5813¹
LCM(5805,5813) = 33744465