What is the Least Common Multiple of 14500 and 14505?

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 14500 and 14505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14500 and 14505, than apply into the LCM equation.

GCF(14500,14505) = 5
LCM(14500,14505) = ( 14500 × 14505) / 5
LCM(14500,14505) = 210322500 / 5
LCM(14500,14505) = 42064500

Least Common Multiple (LCM) of 14500 and 14505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14500 and 14505. First we will calculate the prime factors of 14500 and 14505.

Prime Factorization of 14500

Prime Factorization of 14505

Now multiplying the highest exponent prime factors to calculate the LCM of 14500 and 14505.

LCM(14500,14505) = 2² × 5³ × 29¹ × 3¹ × 967¹
LCM(14500,14505) = 42064500