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What is the Least Common Multiple of 8661 and 8667?

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 8661 and 8667 is 25021629.

LCM(8661,8667) = 25021629

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Least Common Multiple of 8661 and 8667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8661 and 8667, than apply into the LCM equation.

GCF(8661,8667) = 3
LCM(8661,8667) = ( 8661 × 8667) / 3
LCM(8661,8667) = 75064887 / 3
LCM(8661,8667) = 25021629

Least Common Multiple (LCM) of 8661 and 8667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8661 and 8667. First we will calculate the prime factors of 8661 and 8667.

Prime Factorization of 8661

Prime factors of 8661 are 3, 2887. Prime factorization of 8661 in exponential form is:

8661 = 31 × 28871

Prime Factorization of 8667

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

8667 = 34 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 8661 and 8667.

LCM(8661,8667) = 34 × 28871 × 1071
LCM(8661,8667) = 25021629