What is the Least Common Multiple of 5805 and 5825?

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 5825 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 5825, than apply into the LCM equation.

GCF(5805,5825) = 5
LCM(5805,5825) = ( 5805 × 5825) / 5
LCM(5805,5825) = 33814125 / 5
LCM(5805,5825) = 6762825

Least Common Multiple (LCM) of 5805 and 5825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5805 and 5825. First we will calculate the prime factors of 5805 and 5825.

Prime Factorization of 5805

Prime Factorization of 5825

Now multiplying the highest exponent prime factors to calculate the LCM of 5805 and 5825.

LCM(5805,5825) = 3³ × 5² × 43¹ × 233¹
LCM(5805,5825) = 6762825