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What is the Least Common Multiple of 8764 and 8776?

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 8764 and 8776 is 19228216.

LCM(8764,8776) = 19228216

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Least Common Multiple of 8764 and 8776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8764 and 8776, than apply into the LCM equation.

GCF(8764,8776) = 4
LCM(8764,8776) = ( 8764 × 8776) / 4
LCM(8764,8776) = 76912864 / 4
LCM(8764,8776) = 19228216

Least Common Multiple (LCM) of 8764 and 8776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8764 and 8776. First we will calculate the prime factors of 8764 and 8776.

Prime Factorization of 8764

Prime factors of 8764 are 2, 7, 313. Prime factorization of 8764 in exponential form is:

8764 = 22 × 71 × 3131

Prime Factorization of 8776

Prime factors of 8776 are 2, 1097. Prime factorization of 8776 in exponential form is:

8776 = 23 × 10971

Now multiplying the highest exponent prime factors to calculate the LCM of 8764 and 8776.

LCM(8764,8776) = 23 × 71 × 3131 × 10971
LCM(8764,8776) = 19228216