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What is the Least Common Multiple of 10513 and 10530?

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 10513 and 10530 is 110701890.

LCM(10513,10530) = 110701890

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Least Common Multiple of 10513 and 10530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10513 and 10530, than apply into the LCM equation.

GCF(10513,10530) = 1
LCM(10513,10530) = ( 10513 × 10530) / 1
LCM(10513,10530) = 110701890 / 1
LCM(10513,10530) = 110701890

Least Common Multiple (LCM) of 10513 and 10530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10513 and 10530. First we will calculate the prime factors of 10513 and 10530.

Prime Factorization of 10513

Prime factors of 10513 are 10513. Prime factorization of 10513 in exponential form is:

10513 = 105131

Prime Factorization of 10530

Prime factors of 10530 are 2, 3, 5, 13. Prime factorization of 10530 in exponential form is:

10530 = 21 × 34 × 51 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 10513 and 10530.

LCM(10513,10530) = 105131 × 21 × 34 × 51 × 131
LCM(10513,10530) = 110701890