What is the Least Common Multiple of 14800 and 14805?

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 14800 and 14805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14800 and 14805, than apply into the LCM equation.

GCF(14800,14805) = 5
LCM(14800,14805) = ( 14800 × 14805) / 5
LCM(14800,14805) = 219114000 / 5
LCM(14800,14805) = 43822800

Least Common Multiple (LCM) of 14800 and 14805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14800 and 14805. First we will calculate the prime factors of 14800 and 14805.

Prime Factorization of 14800

Prime Factorization of 14805

Now multiplying the highest exponent prime factors to calculate the LCM of 14800 and 14805.

LCM(14800,14805) = 2⁴ × 5² × 37¹ × 3² × 7¹ × 47¹
LCM(14800,14805) = 43822800