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What is the Least Common Multiple of 27506 and 27526?

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 27526 is 378565078.

LCM(27506,27526) = 378565078

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Least Common Multiple of 27506 and 27526 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 27526, than apply into the LCM equation.

GCF(27506,27526) = 2
LCM(27506,27526) = ( 27506 × 27526) / 2
LCM(27506,27526) = 757130156 / 2
LCM(27506,27526) = 378565078

Least Common Multiple (LCM) of 27506 and 27526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27506 and 27526. First we will calculate the prime factors of 27506 and 27526.

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 27526

Prime factors of 27526 are 2, 13763. Prime factorization of 27526 in exponential form is:

27526 = 21 × 137631

Now multiplying the highest exponent prime factors to calculate the LCM of 27506 and 27526.

LCM(27506,27526) = 21 × 171 × 8091 × 137631
LCM(27506,27526) = 378565078