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What is the Least Common Multiple of 88688 and 88695?

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 88688 and 88695 is 7866182160.

LCM(88688,88695) = 7866182160

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Least Common Multiple of 88688 and 88695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88688 and 88695, than apply into the LCM equation.

GCF(88688,88695) = 1
LCM(88688,88695) = ( 88688 × 88695) / 1
LCM(88688,88695) = 7866182160 / 1
LCM(88688,88695) = 7866182160

Least Common Multiple (LCM) of 88688 and 88695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88688 and 88695. First we will calculate the prime factors of 88688 and 88695.

Prime Factorization of 88688

Prime factors of 88688 are 2, 23, 241. Prime factorization of 88688 in exponential form is:

88688 = 24 × 231 × 2411

Prime Factorization of 88695

Prime factors of 88695 are 3, 5, 73. Prime factorization of 88695 in exponential form is:

88695 = 35 × 51 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 88688 and 88695.

LCM(88688,88695) = 24 × 231 × 2411 × 35 × 51 × 731
LCM(88688,88695) = 7866182160