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What is the Least Common Multiple of 38859 and 38863?

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 38859 and 38863 is 1510177317.

LCM(38859,38863) = 1510177317

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Least Common Multiple of 38859 and 38863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38859 and 38863, than apply into the LCM equation.

GCF(38859,38863) = 1
LCM(38859,38863) = ( 38859 × 38863) / 1
LCM(38859,38863) = 1510177317 / 1
LCM(38859,38863) = 1510177317

Least Common Multiple (LCM) of 38859 and 38863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38859 and 38863. First we will calculate the prime factors of 38859 and 38863.

Prime Factorization of 38859

Prime factors of 38859 are 3, 12953. Prime factorization of 38859 in exponential form is:

38859 = 31 × 129531

Prime Factorization of 38863

Prime factors of 38863 are 11, 3533. Prime factorization of 38863 in exponential form is:

38863 = 111 × 35331

Now multiplying the highest exponent prime factors to calculate the LCM of 38859 and 38863.

LCM(38859,38863) = 31 × 129531 × 111 × 35331
LCM(38859,38863) = 1510177317