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What is the Least Common Multiple of 8685 and 8691?

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 8685 and 8691 is 25160445.

LCM(8685,8691) = 25160445

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Least Common Multiple of 8685 and 8691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8685 and 8691, than apply into the LCM equation.

GCF(8685,8691) = 3
LCM(8685,8691) = ( 8685 × 8691) / 3
LCM(8685,8691) = 75481335 / 3
LCM(8685,8691) = 25160445

Least Common Multiple (LCM) of 8685 and 8691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8685 and 8691. First we will calculate the prime factors of 8685 and 8691.

Prime Factorization of 8685

Prime factors of 8685 are 3, 5, 193. Prime factorization of 8685 in exponential form is:

8685 = 32 × 51 × 1931

Prime Factorization of 8691

Prime factors of 8691 are 3, 2897. Prime factorization of 8691 in exponential form is:

8691 = 31 × 28971

Now multiplying the highest exponent prime factors to calculate the LCM of 8685 and 8691.

LCM(8685,8691) = 32 × 51 × 1931 × 28971
LCM(8685,8691) = 25160445