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What is the Least Common Multiple of 38421 and 38439?

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 38421 and 38439 is 164096091.

LCM(38421,38439) = 164096091

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Least Common Multiple of 38421 and 38439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38421 and 38439, than apply into the LCM equation.

GCF(38421,38439) = 9
LCM(38421,38439) = ( 38421 × 38439) / 9
LCM(38421,38439) = 1476864819 / 9
LCM(38421,38439) = 164096091

Least Common Multiple (LCM) of 38421 and 38439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38421 and 38439. First we will calculate the prime factors of 38421 and 38439.

Prime Factorization of 38421

Prime factors of 38421 are 3, 1423. Prime factorization of 38421 in exponential form is:

38421 = 33 × 14231

Prime Factorization of 38439

Prime factors of 38439 are 3, 4271. Prime factorization of 38439 in exponential form is:

38439 = 32 × 42711

Now multiplying the highest exponent prime factors to calculate the LCM of 38421 and 38439.

LCM(38421,38439) = 33 × 14231 × 42711
LCM(38421,38439) = 164096091