What is the Least Common Multiple of 14805 and 14823?

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 14805 and 14823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14805 and 14823, than apply into the LCM equation.

GCF(14805,14823) = 9
LCM(14805,14823) = ( 14805 × 14823) / 9
LCM(14805,14823) = 219454515 / 9
LCM(14805,14823) = 24383835

Least Common Multiple (LCM) of 14805 and 14823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14805 and 14823. First we will calculate the prime factors of 14805 and 14823.

Prime Factorization of 14805

Prime Factorization of 14823

Now multiplying the highest exponent prime factors to calculate the LCM of 14805 and 14823.

LCM(14805,14823) = 3⁵ × 5¹ × 7¹ × 47¹ × 61¹
LCM(14805,14823) = 24383835