What is the Least Common Multiple of 24065 and 24071?

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 24065 and 24071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24065 and 24071, than apply into the LCM equation.

GCF(24065,24071) = 1
LCM(24065,24071) = ( 24065 × 24071) / 1
LCM(24065,24071) = 579268615 / 1
LCM(24065,24071) = 579268615

Least Common Multiple (LCM) of 24065 and 24071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24065 and 24071. First we will calculate the prime factors of 24065 and 24071.

Prime Factorization of 24065

Prime Factorization of 24071

Now multiplying the highest exponent prime factors to calculate the LCM of 24065 and 24071.

LCM(24065,24071) = 5¹ × 4813¹ × 24071¹
LCM(24065,24071) = 579268615