What is the Least Common Multiple of 82557 and 82577?

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 82557 and 82577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82557 and 82577, than apply into the LCM equation.

GCF(82557,82577) = 1
LCM(82557,82577) = ( 82557 × 82577) / 1
LCM(82557,82577) = 6817309389 / 1
LCM(82557,82577) = 6817309389

Least Common Multiple (LCM) of 82557 and 82577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82557 and 82577. First we will calculate the prime factors of 82557 and 82577.

Prime Factorization of 82557

Prime Factorization of 82577

Now multiplying the highest exponent prime factors to calculate the LCM of 82557 and 82577.

LCM(82557,82577) = 3² × 9173¹ × 11¹ × 7507¹
LCM(82557,82577) = 6817309389