What is the Least Common Multiple of 14509 and 14524?

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 14509 and 14524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14509 and 14524, than apply into the LCM equation.

GCF(14509,14524) = 1
LCM(14509,14524) = ( 14509 × 14524) / 1
LCM(14509,14524) = 210728716 / 1
LCM(14509,14524) = 210728716

Least Common Multiple (LCM) of 14509 and 14524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14509 and 14524. First we will calculate the prime factors of 14509 and 14524.

Prime Factorization of 14509

Prime Factorization of 14524

Now multiplying the highest exponent prime factors to calculate the LCM of 14509 and 14524.

LCM(14509,14524) = 11¹ × 1319¹ × 2² × 3631¹
LCM(14509,14524) = 210728716