What is the Least Common Multiple of 38682 and 38697?

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 38682 and 38697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38682 and 38697, than apply into the LCM equation.

GCF(38682,38697) = 3
LCM(38682,38697) = ( 38682 × 38697) / 3
LCM(38682,38697) = 1496877354 / 3
LCM(38682,38697) = 498959118

Least Common Multiple (LCM) of 38682 and 38697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38682 and 38697. First we will calculate the prime factors of 38682 and 38697.

Prime Factorization of 38682

Prime Factorization of 38697

Now multiplying the highest exponent prime factors to calculate the LCM of 38682 and 38697.

LCM(38682,38697) = 2¹ × 3² × 7¹ × 307¹ × 12899¹
LCM(38682,38697) = 498959118