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What is the Least Common Multiple of 88727 and 88732?

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 88727 and 88732 is 7872924164.

LCM(88727,88732) = 7872924164

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Least Common Multiple of 88727 and 88732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88727 and 88732, than apply into the LCM equation.

GCF(88727,88732) = 1
LCM(88727,88732) = ( 88727 × 88732) / 1
LCM(88727,88732) = 7872924164 / 1
LCM(88727,88732) = 7872924164

Least Common Multiple (LCM) of 88727 and 88732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88727 and 88732. First we will calculate the prime factors of 88727 and 88732.

Prime Factorization of 88727

Prime factors of 88727 are 83, 1069. Prime factorization of 88727 in exponential form is:

88727 = 831 × 10691

Prime Factorization of 88732

Prime factors of 88732 are 2, 7, 3169. Prime factorization of 88732 in exponential form is:

88732 = 22 × 71 × 31691

Now multiplying the highest exponent prime factors to calculate the LCM of 88727 and 88732.

LCM(88727,88732) = 831 × 10691 × 22 × 71 × 31691
LCM(88727,88732) = 7872924164