What is the Least Common Multiple of 8530 and 8542?

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 8530 and 8542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8530 and 8542, than apply into the LCM equation.

GCF(8530,8542) = 2
LCM(8530,8542) = ( 8530 × 8542) / 2
LCM(8530,8542) = 72863260 / 2
LCM(8530,8542) = 36431630

Least Common Multiple (LCM) of 8530 and 8542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8530 and 8542. First we will calculate the prime factors of 8530 and 8542.

Prime Factorization of 8530

Prime Factorization of 8542

Now multiplying the highest exponent prime factors to calculate the LCM of 8530 and 8542.

LCM(8530,8542) = 2¹ × 5¹ × 853¹ × 4271¹
LCM(8530,8542) = 36431630