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What is the Least Common Multiple of 7695 and 7711?

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 7711 is 59336145.

LCM(7695,7711) = 59336145

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Least Common Multiple of 7695 and 7711 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 7711, than apply into the LCM equation.

GCF(7695,7711) = 1
LCM(7695,7711) = ( 7695 × 7711) / 1
LCM(7695,7711) = 59336145 / 1
LCM(7695,7711) = 59336145

Least Common Multiple (LCM) of 7695 and 7711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7695 and 7711. First we will calculate the prime factors of 7695 and 7711.

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 7711

Prime factors of 7711 are 11, 701. Prime factorization of 7711 in exponential form is:

7711 = 111 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 7695 and 7711.

LCM(7695,7711) = 34 × 51 × 191 × 111 × 7011
LCM(7695,7711) = 59336145