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What is the Least Common Multiple of 5029 and 5047?

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 5029 and 5047 is 25381363.

LCM(5029,5047) = 25381363

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Least Common Multiple of 5029 and 5047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5029 and 5047, than apply into the LCM equation.

GCF(5029,5047) = 1
LCM(5029,5047) = ( 5029 × 5047) / 1
LCM(5029,5047) = 25381363 / 1
LCM(5029,5047) = 25381363

Least Common Multiple (LCM) of 5029 and 5047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5029 and 5047. First we will calculate the prime factors of 5029 and 5047.

Prime Factorization of 5029

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

5029 = 471 × 1071

Prime Factorization of 5047

Prime factors of 5047 are 7, 103. Prime factorization of 5047 in exponential form is:

5047 = 72 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 5029 and 5047.

LCM(5029,5047) = 471 × 1071 × 72 × 1031
LCM(5029,5047) = 25381363