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What is the Least Common Multiple of 5027 and 5044?

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 5027 and 5044 is 25356188.

LCM(5027,5044) = 25356188

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Least Common Multiple of 5027 and 5044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5027 and 5044, than apply into the LCM equation.

GCF(5027,5044) = 1
LCM(5027,5044) = ( 5027 × 5044) / 1
LCM(5027,5044) = 25356188 / 1
LCM(5027,5044) = 25356188

Least Common Multiple (LCM) of 5027 and 5044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5027 and 5044. First we will calculate the prime factors of 5027 and 5044.

Prime Factorization of 5027

Prime factors of 5027 are 11, 457. Prime factorization of 5027 in exponential form is:

5027 = 111 × 4571

Prime Factorization of 5044

Prime factors of 5044 are 2, 13, 97. Prime factorization of 5044 in exponential form is:

5044 = 22 × 131 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 5027 and 5044.

LCM(5027,5044) = 111 × 4571 × 22 × 131 × 971
LCM(5027,5044) = 25356188