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What is the Least Common Multiple of 8547 and 8567?

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 8547 and 8567 is 73222149.

LCM(8547,8567) = 73222149

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Least Common Multiple of 8547 and 8567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8547 and 8567, than apply into the LCM equation.

GCF(8547,8567) = 1
LCM(8547,8567) = ( 8547 × 8567) / 1
LCM(8547,8567) = 73222149 / 1
LCM(8547,8567) = 73222149

Least Common Multiple (LCM) of 8547 and 8567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8547 and 8567. First we will calculate the prime factors of 8547 and 8567.

Prime Factorization of 8547

Prime factors of 8547 are 3, 7, 11, 37. Prime factorization of 8547 in exponential form is:

8547 = 31 × 71 × 111 × 371

Prime Factorization of 8567

Prime factors of 8567 are 13, 659. Prime factorization of 8567 in exponential form is:

8567 = 131 × 6591

Now multiplying the highest exponent prime factors to calculate the LCM of 8547 and 8567.

LCM(8547,8567) = 31 × 71 × 111 × 371 × 131 × 6591
LCM(8547,8567) = 73222149