What is the Least Common Multiple of 82538 and 82557?

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 82538 and 82557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82538 and 82557, than apply into the LCM equation.

GCF(82538,82557) = 1
LCM(82538,82557) = ( 82538 × 82557) / 1
LCM(82538,82557) = 6814089666 / 1
LCM(82538,82557) = 6814089666

Least Common Multiple (LCM) of 82538 and 82557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82538 and 82557. First we will calculate the prime factors of 82538 and 82557.

Prime Factorization of 82538

Prime Factorization of 82557

Now multiplying the highest exponent prime factors to calculate the LCM of 82538 and 82557.

LCM(82538,82557) = 2¹ × 41269¹ × 3² × 9173¹
LCM(82538,82557) = 6814089666