What is the Least Common Multiple of 5805 and 5824?

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 5824 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 5824, than apply into the LCM equation.

GCF(5805,5824) = 1
LCM(5805,5824) = ( 5805 × 5824) / 1
LCM(5805,5824) = 33808320 / 1
LCM(5805,5824) = 33808320

Least Common Multiple (LCM) of 5805 and 5824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5805 and 5824. First we will calculate the prime factors of 5805 and 5824.

Prime Factorization of 5805

Prime Factorization of 5824

Now multiplying the highest exponent prime factors to calculate the LCM of 5805 and 5824.

LCM(5805,5824) = 3³ × 5¹ × 43¹ × 2⁶ × 7¹ × 13¹
LCM(5805,5824) = 33808320