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What is the Least Common Multiple of 5012 and 5029?

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 5012 and 5029 is 25205348.

LCM(5012,5029) = 25205348

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Least Common Multiple of 5012 and 5029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5012 and 5029, than apply into the LCM equation.

GCF(5012,5029) = 1
LCM(5012,5029) = ( 5012 × 5029) / 1
LCM(5012,5029) = 25205348 / 1
LCM(5012,5029) = 25205348

Least Common Multiple (LCM) of 5012 and 5029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5012 and 5029. First we will calculate the prime factors of 5012 and 5029.

Prime Factorization of 5012

Prime factors of 5012 are 2, 7, 179. Prime factorization of 5012 in exponential form is:

5012 = 22 × 71 × 1791

Prime Factorization of 5029

Prime factors of 5029 are 47, 107. Prime factorization of 5029 in exponential form is:

5029 = 471 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 5012 and 5029.

LCM(5012,5029) = 22 × 71 × 1791 × 471 × 1071
LCM(5012,5029) = 25205348