What is the Least Common Multiple of 5785 and 5805?

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 5785 and 5805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5785 and 5805, than apply into the LCM equation.

GCF(5785,5805) = 5
LCM(5785,5805) = ( 5785 × 5805) / 5
LCM(5785,5805) = 33581925 / 5
LCM(5785,5805) = 6716385

Least Common Multiple (LCM) of 5785 and 5805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5785 and 5805. First we will calculate the prime factors of 5785 and 5805.

Prime Factorization of 5785

Prime Factorization of 5805

Now multiplying the highest exponent prime factors to calculate the LCM of 5785 and 5805.

LCM(5785,5805) = 5¹ × 13¹ × 89¹ × 3³ × 43¹
LCM(5785,5805) = 6716385