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What is the Least Common Multiple of 8038 and 8044?

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 8038 and 8044 is 32328836.

LCM(8038,8044) = 32328836

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Least Common Multiple of 8038 and 8044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8038 and 8044, than apply into the LCM equation.

GCF(8038,8044) = 2
LCM(8038,8044) = ( 8038 × 8044) / 2
LCM(8038,8044) = 64657672 / 2
LCM(8038,8044) = 32328836

Least Common Multiple (LCM) of 8038 and 8044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8038 and 8044. First we will calculate the prime factors of 8038 and 8044.

Prime Factorization of 8038

Prime factors of 8038 are 2, 4019. Prime factorization of 8038 in exponential form is:

8038 = 21 × 40191

Prime Factorization of 8044

Prime factors of 8044 are 2, 2011. Prime factorization of 8044 in exponential form is:

8044 = 22 × 20111

Now multiplying the highest exponent prime factors to calculate the LCM of 8038 and 8044.

LCM(8038,8044) = 22 × 40191 × 20111
LCM(8038,8044) = 32328836