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What is the Least Common Multiple of 88786 and 88791?

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 88786 and 88791 is 7883397726.

LCM(88786,88791) = 7883397726

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Least Common Multiple of 88786 and 88791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88786 and 88791, than apply into the LCM equation.

GCF(88786,88791) = 1
LCM(88786,88791) = ( 88786 × 88791) / 1
LCM(88786,88791) = 7883397726 / 1
LCM(88786,88791) = 7883397726

Least Common Multiple (LCM) of 88786 and 88791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88786 and 88791. First we will calculate the prime factors of 88786 and 88791.

Prime Factorization of 88786

Prime factors of 88786 are 2, 103, 431. Prime factorization of 88786 in exponential form is:

88786 = 21 × 1031 × 4311

Prime Factorization of 88791

Prime factors of 88791 are 3, 17, 1741. Prime factorization of 88791 in exponential form is:

88791 = 31 × 171 × 17411

Now multiplying the highest exponent prime factors to calculate the LCM of 88786 and 88791.

LCM(88786,88791) = 21 × 1031 × 4311 × 31 × 171 × 17411
LCM(88786,88791) = 7883397726