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What is the Least Common Multiple of 88687 and 88704?

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 88687 and 88704 is 7866891648.

LCM(88687,88704) = 7866891648

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Least Common Multiple of 88687 and 88704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88687 and 88704, than apply into the LCM equation.

GCF(88687,88704) = 1
LCM(88687,88704) = ( 88687 × 88704) / 1
LCM(88687,88704) = 7866891648 / 1
LCM(88687,88704) = 7866891648

Least Common Multiple (LCM) of 88687 and 88704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88687 and 88704. First we will calculate the prime factors of 88687 and 88704.

Prime Factorization of 88687

Prime factors of 88687 are 131, 677. Prime factorization of 88687 in exponential form is:

88687 = 1311 × 6771

Prime Factorization of 88704

Prime factors of 88704 are 2, 3, 7, 11. Prime factorization of 88704 in exponential form is:

88704 = 27 × 32 × 71 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 88687 and 88704.

LCM(88687,88704) = 1311 × 6771 × 27 × 32 × 71 × 111
LCM(88687,88704) = 7866891648