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What is the Least Common Multiple of 8526 and 8546?

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 8526 and 8546 is 36431598.

LCM(8526,8546) = 36431598

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Least Common Multiple of 8526 and 8546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8526 and 8546, than apply into the LCM equation.

GCF(8526,8546) = 2
LCM(8526,8546) = ( 8526 × 8546) / 2
LCM(8526,8546) = 72863196 / 2
LCM(8526,8546) = 36431598

Least Common Multiple (LCM) of 8526 and 8546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8526 and 8546. First we will calculate the prime factors of 8526 and 8546.

Prime Factorization of 8526

Prime factors of 8526 are 2, 3, 7, 29. Prime factorization of 8526 in exponential form is:

8526 = 21 × 31 × 72 × 291

Prime Factorization of 8546

Prime factors of 8546 are 2, 4273. Prime factorization of 8546 in exponential form is:

8546 = 21 × 42731

Now multiplying the highest exponent prime factors to calculate the LCM of 8526 and 8546.

LCM(8526,8546) = 21 × 31 × 72 × 291 × 42731
LCM(8526,8546) = 36431598