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What is the Least Common Multiple of 8661 and 8680?

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 8680 is 75177480.

LCM(8661,8680) = 75177480

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Least Common Multiple of 8661 and 8680 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 8680, than apply into the LCM equation.

GCF(8661,8680) = 1
LCM(8661,8680) = ( 8661 × 8680) / 1
LCM(8661,8680) = 75177480 / 1
LCM(8661,8680) = 75177480

Least Common Multiple (LCM) of 8661 and 8680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8661 and 8680. First we will calculate the prime factors of 8661 and 8680.

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 8680

Prime factors of 8680 are 2, 5, 7, 31. Prime factorization of 8680 in exponential form is:

8680 = 23 × 51 × 71 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 8661 and 8680.

LCM(8661,8680) = 31 × 28871 × 23 × 51 × 71 × 311
LCM(8661,8680) = 75177480