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What is the Least Common Multiple of 51037 and 51044?

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 51037 and 51044 is 372161804.

LCM(51037,51044) = 372161804

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Least Common Multiple of 51037 and 51044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51037 and 51044, than apply into the LCM equation.

GCF(51037,51044) = 7
LCM(51037,51044) = ( 51037 × 51044) / 7
LCM(51037,51044) = 2605132628 / 7
LCM(51037,51044) = 372161804

Least Common Multiple (LCM) of 51037 and 51044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51037 and 51044. First we will calculate the prime factors of 51037 and 51044.

Prime Factorization of 51037

Prime factors of 51037 are 7, 23, 317. Prime factorization of 51037 in exponential form is:

51037 = 71 × 231 × 3171

Prime Factorization of 51044

Prime factors of 51044 are 2, 7, 1823. Prime factorization of 51044 in exponential form is:

51044 = 22 × 71 × 18231

Now multiplying the highest exponent prime factors to calculate the LCM of 51037 and 51044.

LCM(51037,51044) = 71 × 231 × 3171 × 22 × 18231
LCM(51037,51044) = 372161804