What is the Least Common Multiple of 82531 and 82547?

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 82531 and 82547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82531 and 82547, than apply into the LCM equation.

GCF(82531,82547) = 1
LCM(82531,82547) = ( 82531 × 82547) / 1
LCM(82531,82547) = 6812686457 / 1
LCM(82531,82547) = 6812686457

Least Common Multiple (LCM) of 82531 and 82547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82531 and 82547. First we will calculate the prime factors of 82531 and 82547.

Prime Factorization of 82531

Prime Factorization of 82547

Now multiplying the highest exponent prime factors to calculate the LCM of 82531 and 82547.

LCM(82531,82547) = 82531¹ × 23¹ × 37¹ × 97¹
LCM(82531,82547) = 6812686457