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What is the Least Common Multiple of 39027 and 39043?

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 39027 and 39043 is 1523731161.

LCM(39027,39043) = 1523731161

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Least Common Multiple of 39027 and 39043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39027 and 39043, than apply into the LCM equation.

GCF(39027,39043) = 1
LCM(39027,39043) = ( 39027 × 39043) / 1
LCM(39027,39043) = 1523731161 / 1
LCM(39027,39043) = 1523731161

Least Common Multiple (LCM) of 39027 and 39043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39027 and 39043. First we will calculate the prime factors of 39027 and 39043.

Prime Factorization of 39027

Prime factors of 39027 are 3, 13009. Prime factorization of 39027 in exponential form is:

39027 = 31 × 130091

Prime Factorization of 39043

Prime factors of 39043 are 39043. Prime factorization of 39043 in exponential form is:

39043 = 390431

Now multiplying the highest exponent prime factors to calculate the LCM of 39027 and 39043.

LCM(39027,39043) = 31 × 130091 × 390431
LCM(39027,39043) = 1523731161