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What is the Least Common Multiple of 86531 and 86537?

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 86531 and 86537 is 7488133147.

LCM(86531,86537) = 7488133147

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Least Common Multiple of 86531 and 86537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86531 and 86537, than apply into the LCM equation.

GCF(86531,86537) = 1
LCM(86531,86537) = ( 86531 × 86537) / 1
LCM(86531,86537) = 7488133147 / 1
LCM(86531,86537) = 7488133147

Least Common Multiple (LCM) of 86531 and 86537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86531 and 86537. First we will calculate the prime factors of 86531 and 86537.

Prime Factorization of 86531

Prime factors of 86531 are 86531. Prime factorization of 86531 in exponential form is:

86531 = 865311

Prime Factorization of 86537

Prime factors of 86537 are 11, 7867. Prime factorization of 86537 in exponential form is:

86537 = 111 × 78671

Now multiplying the highest exponent prime factors to calculate the LCM of 86531 and 86537.

LCM(86531,86537) = 865311 × 111 × 78671
LCM(86531,86537) = 7488133147