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What is the Least Common Multiple of 5007 and 5027?

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 5007 and 5027 is 25170189.

LCM(5007,5027) = 25170189

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Least Common Multiple of 5007 and 5027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5007 and 5027, than apply into the LCM equation.

GCF(5007,5027) = 1
LCM(5007,5027) = ( 5007 × 5027) / 1
LCM(5007,5027) = 25170189 / 1
LCM(5007,5027) = 25170189

Least Common Multiple (LCM) of 5007 and 5027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5007 and 5027. First we will calculate the prime factors of 5007 and 5027.

Prime Factorization of 5007

Prime factors of 5007 are 3, 1669. Prime factorization of 5007 in exponential form is:

5007 = 31 × 16691

Prime Factorization of 5027

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

5027 = 111 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 5007 and 5027.

LCM(5007,5027) = 31 × 16691 × 111 × 4571
LCM(5007,5027) = 25170189