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What is the Least Common Multiple of 38502 and 38513?

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 38502 and 38513 is 1482827526.

LCM(38502,38513) = 1482827526

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Least Common Multiple of 38502 and 38513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38502 and 38513, than apply into the LCM equation.

GCF(38502,38513) = 1
LCM(38502,38513) = ( 38502 × 38513) / 1
LCM(38502,38513) = 1482827526 / 1
LCM(38502,38513) = 1482827526

Least Common Multiple (LCM) of 38502 and 38513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38502 and 38513. First we will calculate the prime factors of 38502 and 38513.

Prime Factorization of 38502

Prime factors of 38502 are 2, 3, 23, 31. Prime factorization of 38502 in exponential form is:

38502 = 21 × 33 × 231 × 311

Prime Factorization of 38513

Prime factors of 38513 are 19, 2027. Prime factorization of 38513 in exponential form is:

38513 = 191 × 20271

Now multiplying the highest exponent prime factors to calculate the LCM of 38502 and 38513.

LCM(38502,38513) = 21 × 33 × 231 × 311 × 191 × 20271
LCM(38502,38513) = 1482827526