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What is the Least Common Multiple of 27506 and 27513?

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 27506 and 27513 is 756772578.

LCM(27506,27513) = 756772578

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Least Common Multiple of 27506 and 27513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27506 and 27513, than apply into the LCM equation.

GCF(27506,27513) = 1
LCM(27506,27513) = ( 27506 × 27513) / 1
LCM(27506,27513) = 756772578 / 1
LCM(27506,27513) = 756772578

Least Common Multiple (LCM) of 27506 and 27513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27506 and 27513. First we will calculate the prime factors of 27506 and 27513.

Prime Factorization of 27506

Prime factors of 27506 are 2, 17, 809. Prime factorization of 27506 in exponential form is:

27506 = 21 × 171 × 8091

Prime Factorization of 27513

Prime factors of 27513 are 3, 1019. Prime factorization of 27513 in exponential form is:

27513 = 33 × 10191

Now multiplying the highest exponent prime factors to calculate the LCM of 27506 and 27513.

LCM(27506,27513) = 21 × 171 × 8091 × 33 × 10191
LCM(27506,27513) = 756772578