What is the Least Common Multiple of 14505 and 14525?

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 14505 and 14525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14505 and 14525, than apply into the LCM equation.

GCF(14505,14525) = 5
LCM(14505,14525) = ( 14505 × 14525) / 5
LCM(14505,14525) = 210685125 / 5
LCM(14505,14525) = 42137025

Least Common Multiple (LCM) of 14505 and 14525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14505 and 14525. First we will calculate the prime factors of 14505 and 14525.

Prime Factorization of 14505

Prime Factorization of 14525

Now multiplying the highest exponent prime factors to calculate the LCM of 14505 and 14525.

LCM(14505,14525) = 3¹ × 5² × 967¹ × 7¹ × 83¹
LCM(14505,14525) = 42137025