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What is the Least Common Multiple of 6231 and 6238?

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 6231 and 6238 is 38868978.

LCM(6231,6238) = 38868978

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Least Common Multiple of 6231 and 6238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6231 and 6238, than apply into the LCM equation.

GCF(6231,6238) = 1
LCM(6231,6238) = ( 6231 × 6238) / 1
LCM(6231,6238) = 38868978 / 1
LCM(6231,6238) = 38868978

Least Common Multiple (LCM) of 6231 and 6238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6231 and 6238. First we will calculate the prime factors of 6231 and 6238.

Prime Factorization of 6231

Prime factors of 6231 are 3, 31, 67. Prime factorization of 6231 in exponential form is:

6231 = 31 × 311 × 671

Prime Factorization of 6238

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

6238 = 21 × 31191

Now multiplying the highest exponent prime factors to calculate the LCM of 6231 and 6238.

LCM(6231,6238) = 31 × 311 × 671 × 21 × 31191
LCM(6231,6238) = 38868978