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What is the Least Common Multiple of 38682 and 38696?

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 (LCM) of 38682 and 38696 is 106917048.

LCM(38682,38696) = 106917048

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Least Common Multiple of 38682 and 38696 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 38696, than apply into the LCM equation.

GCF(38682,38696) = 14
LCM(38682,38696) = ( 38682 × 38696) / 14
LCM(38682,38696) = 1496838672 / 14
LCM(38682,38696) = 106917048

Least Common Multiple (LCM) of 38682 and 38696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38682 and 38696. First we will calculate the prime factors of 38682 and 38696.

Prime Factorization of 38682

Prime factors of 38682 are 2, 3, 7, 307. Prime factorization of 38682 in exponential form is:

38682 = 21 × 32 × 71 × 3071

Prime Factorization of 38696

Prime factors of 38696 are 2, 7, 691. Prime factorization of 38696 in exponential form is:

38696 = 23 × 71 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 38682 and 38696.

LCM(38682,38696) = 23 × 32 × 71 × 3071 × 6911
LCM(38682,38696) = 106917048