What is the Least Common Multiple of 82689 and 82706?

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 82689 and 82706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82689 and 82706, than apply into the LCM equation.

GCF(82689,82706) = 1
LCM(82689,82706) = ( 82689 × 82706) / 1
LCM(82689,82706) = 6838876434 / 1
LCM(82689,82706) = 6838876434

Least Common Multiple (LCM) of 82689 and 82706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82689 and 82706. First we will calculate the prime factors of 82689 and 82706.

Prime Factorization of 82689

Prime Factorization of 82706

Now multiplying the highest exponent prime factors to calculate the LCM of 82689 and 82706.

LCM(82689,82706) = 3¹ × 43¹ × 641¹ × 2¹ × 13¹ × 3181¹
LCM(82689,82706) = 6838876434