What is the Least Common Multiple of 8514 and 8529?

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 8514 and 8529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8514 and 8529, than apply into the LCM equation.

GCF(8514,8529) = 3
LCM(8514,8529) = ( 8514 × 8529) / 3
LCM(8514,8529) = 72615906 / 3
LCM(8514,8529) = 24205302

Least Common Multiple (LCM) of 8514 and 8529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8514 and 8529. First we will calculate the prime factors of 8514 and 8529.

Prime Factorization of 8514

Prime Factorization of 8529

Now multiplying the highest exponent prime factors to calculate the LCM of 8514 and 8529.

LCM(8514,8529) = 2¹ × 3² × 11¹ × 43¹ × 2843¹
LCM(8514,8529) = 24205302