What is the Least Common Multiple of 8512 and 8531?

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 8512 and 8531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8512 and 8531, than apply into the LCM equation.

GCF(8512,8531) = 19
LCM(8512,8531) = ( 8512 × 8531) / 19
LCM(8512,8531) = 72615872 / 19
LCM(8512,8531) = 3821888

Least Common Multiple (LCM) of 8512 and 8531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8512 and 8531. First we will calculate the prime factors of 8512 and 8531.

Prime Factorization of 8512

Prime Factorization of 8531

Now multiplying the highest exponent prime factors to calculate the LCM of 8512 and 8531.

LCM(8512,8531) = 2⁶ × 7¹ × 19¹ × 449¹
LCM(8512,8531) = 3821888