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What is the Least Common Multiple of 8667 and 8679?

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 8667 and 8679 is 25073631.

LCM(8667,8679) = 25073631

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Least Common Multiple of 8667 and 8679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8667 and 8679, than apply into the LCM equation.

GCF(8667,8679) = 3
LCM(8667,8679) = ( 8667 × 8679) / 3
LCM(8667,8679) = 75220893 / 3
LCM(8667,8679) = 25073631

Least Common Multiple (LCM) of 8667 and 8679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8667 and 8679. First we will calculate the prime factors of 8667 and 8679.

Prime Factorization of 8667

Prime factors of 8667 are 3, 107. Prime factorization of 8667 in exponential form is:

8667 = 34 × 1071

Prime Factorization of 8679

Prime factors of 8679 are 3, 11, 263. Prime factorization of 8679 in exponential form is:

8679 = 31 × 111 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 8667 and 8679.

LCM(8667,8679) = 34 × 1071 × 111 × 2631
LCM(8667,8679) = 25073631