What is the Least Common Multiple of 82689 and 82707?

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 82707 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 82707, than apply into the LCM equation.

GCF(82689,82707) = 3
LCM(82689,82707) = ( 82689 × 82707) / 3
LCM(82689,82707) = 6838959123 / 3
LCM(82689,82707) = 2279653041

Least Common Multiple (LCM) of 82689 and 82707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82689 and 82707. First we will calculate the prime factors of 82689 and 82707.

Prime Factorization of 82689

Prime Factorization of 82707

Now multiplying the highest exponent prime factors to calculate the LCM of 82689 and 82707.

LCM(82689,82707) = 3¹ × 43¹ × 641¹ × 19¹ × 1451¹
LCM(82689,82707) = 2279653041