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What is the Least Common Multiple of 38039 and 38047?

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 38039 and 38047 is 1447269833.

LCM(38039,38047) = 1447269833

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Least Common Multiple of 38039 and 38047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38039 and 38047, than apply into the LCM equation.

GCF(38039,38047) = 1
LCM(38039,38047) = ( 38039 × 38047) / 1
LCM(38039,38047) = 1447269833 / 1
LCM(38039,38047) = 1447269833

Least Common Multiple (LCM) of 38039 and 38047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38039 and 38047. First we will calculate the prime factors of 38039 and 38047.

Prime Factorization of 38039

Prime factors of 38039 are 38039. Prime factorization of 38039 in exponential form is:

38039 = 380391

Prime Factorization of 38047

Prime factors of 38047 are 38047. Prime factorization of 38047 in exponential form is:

38047 = 380471

Now multiplying the highest exponent prime factors to calculate the LCM of 38039 and 38047.

LCM(38039,38047) = 380391 × 380471
LCM(38039,38047) = 1447269833