What is the Least Common Multiple of 8523 and 8540?

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 8523 and 8540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8523 and 8540, than apply into the LCM equation.

GCF(8523,8540) = 1
LCM(8523,8540) = ( 8523 × 8540) / 1
LCM(8523,8540) = 72786420 / 1
LCM(8523,8540) = 72786420

Least Common Multiple (LCM) of 8523 and 8540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8523 and 8540. First we will calculate the prime factors of 8523 and 8540.

Prime Factorization of 8523

Prime Factorization of 8540

Now multiplying the highest exponent prime factors to calculate the LCM of 8523 and 8540.

LCM(8523,8540) = 3² × 947¹ × 2² × 5¹ × 7¹ × 61¹
LCM(8523,8540) = 72786420