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What is the Least Common Multiple of 88688 and 88703?

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 88703 is 7866891664.

LCM(88688,88703) = 7866891664

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Least Common Multiple of 88688 and 88703 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 88703, than apply into the LCM equation.

GCF(88688,88703) = 1
LCM(88688,88703) = ( 88688 × 88703) / 1
LCM(88688,88703) = 7866891664 / 1
LCM(88688,88703) = 7866891664

Least Common Multiple (LCM) of 88688 and 88703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88688 and 88703. First we will calculate the prime factors of 88688 and 88703.

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 88703

Prime factors of 88703 are 107, 829. Prime factorization of 88703 in exponential form is:

88703 = 1071 × 8291

Now multiplying the highest exponent prime factors to calculate the LCM of 88688 and 88703.

LCM(88688,88703) = 24 × 231 × 2411 × 1071 × 8291
LCM(88688,88703) = 7866891664