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What is the Least Common Multiple of 8766 and 8775?

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 8766 and 8775 is 8546850.

LCM(8766,8775) = 8546850

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Least Common Multiple of 8766 and 8775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8766 and 8775, than apply into the LCM equation.

GCF(8766,8775) = 9
LCM(8766,8775) = ( 8766 × 8775) / 9
LCM(8766,8775) = 76921650 / 9
LCM(8766,8775) = 8546850

Least Common Multiple (LCM) of 8766 and 8775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8766 and 8775. First we will calculate the prime factors of 8766 and 8775.

Prime Factorization of 8766

Prime factors of 8766 are 2, 3, 487. Prime factorization of 8766 in exponential form is:

8766 = 21 × 32 × 4871

Prime Factorization of 8775

Prime factors of 8775 are 3, 5, 13. Prime factorization of 8775 in exponential form is:

8775 = 33 × 52 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 8766 and 8775.

LCM(8766,8775) = 21 × 33 × 4871 × 52 × 131
LCM(8766,8775) = 8546850