What is the Least Common Multiple of 14520 and 14529?

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 14520 and 14529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14520 and 14529, than apply into the LCM equation.

GCF(14520,14529) = 3
LCM(14520,14529) = ( 14520 × 14529) / 3
LCM(14520,14529) = 210961080 / 3
LCM(14520,14529) = 70320360

Least Common Multiple (LCM) of 14520 and 14529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14520 and 14529. First we will calculate the prime factors of 14520 and 14529.

Prime Factorization of 14520

Prime Factorization of 14529

Now multiplying the highest exponent prime factors to calculate the LCM of 14520 and 14529.

LCM(14520,14529) = 2³ × 3¹ × 5¹ × 11² × 29¹ × 167¹
LCM(14520,14529) = 70320360