What is the Least Common Multiple of 8514 and 8530?

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 8530 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 8530, than apply into the LCM equation.

GCF(8514,8530) = 2
LCM(8514,8530) = ( 8514 × 8530) / 2
LCM(8514,8530) = 72624420 / 2
LCM(8514,8530) = 36312210

Least Common Multiple (LCM) of 8514 and 8530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8514 and 8530. First we will calculate the prime factors of 8514 and 8530.

Prime Factorization of 8514

Prime Factorization of 8530

Now multiplying the highest exponent prime factors to calculate the LCM of 8514 and 8530.

LCM(8514,8530) = 2¹ × 3² × 11¹ × 43¹ × 5¹ × 853¹
LCM(8514,8530) = 36312210