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What is the Least Common Multiple of 7706 and 7716?

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 7706 and 7716 is 29729748.

LCM(7706,7716) = 29729748

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Least Common Multiple of 7706 and 7716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7706 and 7716, than apply into the LCM equation.

GCF(7706,7716) = 2
LCM(7706,7716) = ( 7706 × 7716) / 2
LCM(7706,7716) = 59459496 / 2
LCM(7706,7716) = 29729748

Least Common Multiple (LCM) of 7706 and 7716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7706 and 7716. First we will calculate the prime factors of 7706 and 7716.

Prime Factorization of 7706

Prime factors of 7706 are 2, 3853. Prime factorization of 7706 in exponential form is:

7706 = 21 × 38531

Prime Factorization of 7716

Prime factors of 7716 are 2, 3, 643. Prime factorization of 7716 in exponential form is:

7716 = 22 × 31 × 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 7706 and 7716.

LCM(7706,7716) = 22 × 38531 × 31 × 6431
LCM(7706,7716) = 29729748