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What is the Least Common Multiple of 8768 and 8777?

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 8768 and 8777 is 76956736.

LCM(8768,8777) = 76956736

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Least Common Multiple of 8768 and 8777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8768 and 8777, than apply into the LCM equation.

GCF(8768,8777) = 1
LCM(8768,8777) = ( 8768 × 8777) / 1
LCM(8768,8777) = 76956736 / 1
LCM(8768,8777) = 76956736

Least Common Multiple (LCM) of 8768 and 8777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8768 and 8777. First we will calculate the prime factors of 8768 and 8777.

Prime Factorization of 8768

Prime factors of 8768 are 2, 137. Prime factorization of 8768 in exponential form is:

8768 = 26 × 1371

Prime Factorization of 8777

Prime factors of 8777 are 67, 131. Prime factorization of 8777 in exponential form is:

8777 = 671 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 8768 and 8777.

LCM(8768,8777) = 26 × 1371 × 671 × 1311
LCM(8768,8777) = 76956736