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What is the Least Common Multiple of 38853 and 38858?

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 38853 and 38858 is 1509749874.

LCM(38853,38858) = 1509749874

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Least Common Multiple of 38853 and 38858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38853 and 38858, than apply into the LCM equation.

GCF(38853,38858) = 1
LCM(38853,38858) = ( 38853 × 38858) / 1
LCM(38853,38858) = 1509749874 / 1
LCM(38853,38858) = 1509749874

Least Common Multiple (LCM) of 38853 and 38858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38853 and 38858. First we will calculate the prime factors of 38853 and 38858.

Prime Factorization of 38853

Prime factors of 38853 are 3, 1439. Prime factorization of 38853 in exponential form is:

38853 = 33 × 14391

Prime Factorization of 38858

Prime factors of 38858 are 2, 19429. Prime factorization of 38858 in exponential form is:

38858 = 21 × 194291

Now multiplying the highest exponent prime factors to calculate the LCM of 38853 and 38858.

LCM(38853,38858) = 33 × 14391 × 21 × 194291
LCM(38853,38858) = 1509749874