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What is the Least Common Multiple of 8697 and 8706?

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 8697 and 8706 is 25238694.

LCM(8697,8706) = 25238694

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Least Common Multiple of 8697 and 8706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8697 and 8706, than apply into the LCM equation.

GCF(8697,8706) = 3
LCM(8697,8706) = ( 8697 × 8706) / 3
LCM(8697,8706) = 75716082 / 3
LCM(8697,8706) = 25238694

Least Common Multiple (LCM) of 8697 and 8706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8697 and 8706. First we will calculate the prime factors of 8697 and 8706.

Prime Factorization of 8697

Prime factors of 8697 are 3, 13, 223. Prime factorization of 8697 in exponential form is:

8697 = 31 × 131 × 2231

Prime Factorization of 8706

Prime factors of 8706 are 2, 3, 1451. Prime factorization of 8706 in exponential form is:

8706 = 21 × 31 × 14511

Now multiplying the highest exponent prime factors to calculate the LCM of 8697 and 8706.

LCM(8697,8706) = 31 × 131 × 2231 × 21 × 14511
LCM(8697,8706) = 25238694