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What is the Least Common Multiple of 8966 and 8977?

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 8966 and 8977 is 80487782.

LCM(8966,8977) = 80487782

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Least Common Multiple of 8966 and 8977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8966 and 8977, than apply into the LCM equation.

GCF(8966,8977) = 1
LCM(8966,8977) = ( 8966 × 8977) / 1
LCM(8966,8977) = 80487782 / 1
LCM(8966,8977) = 80487782

Least Common Multiple (LCM) of 8966 and 8977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8966 and 8977. First we will calculate the prime factors of 8966 and 8977.

Prime Factorization of 8966

Prime factors of 8966 are 2, 4483. Prime factorization of 8966 in exponential form is:

8966 = 21 × 44831

Prime Factorization of 8977

Prime factors of 8977 are 47, 191. Prime factorization of 8977 in exponential form is:

8977 = 471 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 8966 and 8977.

LCM(8966,8977) = 21 × 44831 × 471 × 1911
LCM(8966,8977) = 80487782