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What is the Least Common Multiple of 4039 and 4049?

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 4039 and 4049 is 16353911.

LCM(4039,4049) = 16353911

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Least Common Multiple of 4039 and 4049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4039 and 4049, than apply into the LCM equation.

GCF(4039,4049) = 1
LCM(4039,4049) = ( 4039 × 4049) / 1
LCM(4039,4049) = 16353911 / 1
LCM(4039,4049) = 16353911

Least Common Multiple (LCM) of 4039 and 4049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4039 and 4049. First we will calculate the prime factors of 4039 and 4049.

Prime Factorization of 4039

Prime factors of 4039 are 7, 577. Prime factorization of 4039 in exponential form is:

4039 = 71 × 5771

Prime Factorization of 4049

Prime factors of 4049 are 4049. Prime factorization of 4049 in exponential form is:

4049 = 40491

Now multiplying the highest exponent prime factors to calculate the LCM of 4039 and 4049.

LCM(4039,4049) = 71 × 5771 × 40491
LCM(4039,4049) = 16353911