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What is the Least Common Multiple of 7695 and 7712?

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 7695 and 7712 is 59343840.

LCM(7695,7712) = 59343840

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Least Common Multiple of 7695 and 7712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7695 and 7712, than apply into the LCM equation.

GCF(7695,7712) = 1
LCM(7695,7712) = ( 7695 × 7712) / 1
LCM(7695,7712) = 59343840 / 1
LCM(7695,7712) = 59343840

Least Common Multiple (LCM) of 7695 and 7712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7695 and 7712. First we will calculate the prime factors of 7695 and 7712.

Prime Factorization of 7695

Prime factors of 7695 are 3, 5, 19. Prime factorization of 7695 in exponential form is:

7695 = 34 × 51 × 191

Prime Factorization of 7712

Prime factors of 7712 are 2, 241. Prime factorization of 7712 in exponential form is:

7712 = 25 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 7695 and 7712.

LCM(7695,7712) = 34 × 51 × 191 × 25 × 2411
LCM(7695,7712) = 59343840