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What is the Least Common Multiple of 5023 and 5034?

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 5023 and 5034 is 25285782.

LCM(5023,5034) = 25285782

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Least Common Multiple of 5023 and 5034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5023 and 5034, than apply into the LCM equation.

GCF(5023,5034) = 1
LCM(5023,5034) = ( 5023 × 5034) / 1
LCM(5023,5034) = 25285782 / 1
LCM(5023,5034) = 25285782

Least Common Multiple (LCM) of 5023 and 5034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5023 and 5034. First we will calculate the prime factors of 5023 and 5034.

Prime Factorization of 5023

Prime factors of 5023 are 5023. Prime factorization of 5023 in exponential form is:

5023 = 50231

Prime Factorization of 5034

Prime factors of 5034 are 2, 3, 839. Prime factorization of 5034 in exponential form is:

5034 = 21 × 31 × 8391

Now multiplying the highest exponent prime factors to calculate the LCM of 5023 and 5034.

LCM(5023,5034) = 50231 × 21 × 31 × 8391
LCM(5023,5034) = 25285782