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What is the Least Common Multiple of 28506 and 28513?

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 28506 and 28513 is 812791578.

LCM(28506,28513) = 812791578

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Least Common Multiple of 28506 and 28513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28506 and 28513, than apply into the LCM equation.

GCF(28506,28513) = 1
LCM(28506,28513) = ( 28506 × 28513) / 1
LCM(28506,28513) = 812791578 / 1
LCM(28506,28513) = 812791578

Least Common Multiple (LCM) of 28506 and 28513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28506 and 28513. First we will calculate the prime factors of 28506 and 28513.

Prime Factorization of 28506

Prime factors of 28506 are 2, 3, 4751. Prime factorization of 28506 in exponential form is:

28506 = 21 × 31 × 47511

Prime Factorization of 28513

Prime factors of 28513 are 28513. Prime factorization of 28513 in exponential form is:

28513 = 285131

Now multiplying the highest exponent prime factors to calculate the LCM of 28506 and 28513.

LCM(28506,28513) = 21 × 31 × 47511 × 285131
LCM(28506,28513) = 812791578