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What is the Least Common Multiple of 51033 and 51039?

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 51033 and 51039 is 868224429.

LCM(51033,51039) = 868224429

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Least Common Multiple of 51033 and 51039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51033 and 51039, than apply into the LCM equation.

GCF(51033,51039) = 3
LCM(51033,51039) = ( 51033 × 51039) / 3
LCM(51033,51039) = 2604673287 / 3
LCM(51033,51039) = 868224429

Least Common Multiple (LCM) of 51033 and 51039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51033 and 51039. First we will calculate the prime factors of 51033 and 51039.

Prime Factorization of 51033

Prime factors of 51033 are 3, 17011. Prime factorization of 51033 in exponential form is:

51033 = 31 × 170111

Prime Factorization of 51039

Prime factors of 51039 are 3, 53, 107. Prime factorization of 51039 in exponential form is:

51039 = 32 × 531 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 51033 and 51039.

LCM(51033,51039) = 32 × 170111 × 531 × 1071
LCM(51033,51039) = 868224429