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What is the Least Common Multiple of 38863 and 38882?

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 38863 and 38882 is 1511071166.

LCM(38863,38882) = 1511071166

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Least Common Multiple of 38863 and 38882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38863 and 38882, than apply into the LCM equation.

GCF(38863,38882) = 1
LCM(38863,38882) = ( 38863 × 38882) / 1
LCM(38863,38882) = 1511071166 / 1
LCM(38863,38882) = 1511071166

Least Common Multiple (LCM) of 38863 and 38882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38863 and 38882. First we will calculate the prime factors of 38863 and 38882.

Prime Factorization of 38863

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

38863 = 111 × 35331

Prime Factorization of 38882

Prime factors of 38882 are 2, 19441. Prime factorization of 38882 in exponential form is:

38882 = 21 × 194411

Now multiplying the highest exponent prime factors to calculate the LCM of 38863 and 38882.

LCM(38863,38882) = 111 × 35331 × 21 × 194411
LCM(38863,38882) = 1511071166