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What is the Least Common Multiple of 28037 and 28041?

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 28037 and 28041 is 786185517.

LCM(28037,28041) = 786185517

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Least Common Multiple of 28037 and 28041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28037 and 28041, than apply into the LCM equation.

GCF(28037,28041) = 1
LCM(28037,28041) = ( 28037 × 28041) / 1
LCM(28037,28041) = 786185517 / 1
LCM(28037,28041) = 786185517

Least Common Multiple (LCM) of 28037 and 28041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28037 and 28041. First we will calculate the prime factors of 28037 and 28041.

Prime Factorization of 28037

Prime factors of 28037 are 23, 53. Prime factorization of 28037 in exponential form is:

28037 = 232 × 531

Prime Factorization of 28041

Prime factors of 28041 are 3, 13, 719. Prime factorization of 28041 in exponential form is:

28041 = 31 × 131 × 7191

Now multiplying the highest exponent prime factors to calculate the LCM of 28037 and 28041.

LCM(28037,28041) = 232 × 531 × 31 × 131 × 7191
LCM(28037,28041) = 786185517