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What is the Least Common Multiple of 8039 and 8046?

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 8039 and 8046 is 64681794.

LCM(8039,8046) = 64681794

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Least Common Multiple of 8039 and 8046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8039 and 8046, than apply into the LCM equation.

GCF(8039,8046) = 1
LCM(8039,8046) = ( 8039 × 8046) / 1
LCM(8039,8046) = 64681794 / 1
LCM(8039,8046) = 64681794

Least Common Multiple (LCM) of 8039 and 8046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8039 and 8046. First we will calculate the prime factors of 8039 and 8046.

Prime Factorization of 8039

Prime factors of 8039 are 8039. Prime factorization of 8039 in exponential form is:

8039 = 80391

Prime Factorization of 8046

Prime factors of 8046 are 2, 3, 149. Prime factorization of 8046 in exponential form is:

8046 = 21 × 33 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 8039 and 8046.

LCM(8039,8046) = 80391 × 21 × 33 × 1491
LCM(8039,8046) = 64681794