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What is the Least Common Multiple of 6238 and 6249?

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 6238 and 6249 is 38981262.

LCM(6238,6249) = 38981262

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Least Common Multiple of 6238 and 6249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6238 and 6249, than apply into the LCM equation.

GCF(6238,6249) = 1
LCM(6238,6249) = ( 6238 × 6249) / 1
LCM(6238,6249) = 38981262 / 1
LCM(6238,6249) = 38981262

Least Common Multiple (LCM) of 6238 and 6249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6238 and 6249. First we will calculate the prime factors of 6238 and 6249.

Prime Factorization of 6238

Prime factors of 6238 are 2, 3119. Prime factorization of 6238 in exponential form is:

6238 = 21 × 31191

Prime Factorization of 6249

Prime factors of 6249 are 3, 2083. Prime factorization of 6249 in exponential form is:

6249 = 31 × 20831

Now multiplying the highest exponent prime factors to calculate the LCM of 6238 and 6249.

LCM(6238,6249) = 21 × 31191 × 31 × 20831
LCM(6238,6249) = 38981262