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What is the Least Common Multiple of 88727 and 88731?

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 88731 is 7872835437.

LCM(88727,88731) = 7872835437

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Least Common Multiple of 88727 and 88731 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 88731, than apply into the LCM equation.

GCF(88727,88731) = 1
LCM(88727,88731) = ( 88727 × 88731) / 1
LCM(88727,88731) = 7872835437 / 1
LCM(88727,88731) = 7872835437

Least Common Multiple (LCM) of 88727 and 88731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88727 and 88731. First we will calculate the prime factors of 88727 and 88731.

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 88731

Prime factors of 88731 are 3, 9859. Prime factorization of 88731 in exponential form is:

88731 = 32 × 98591

Now multiplying the highest exponent prime factors to calculate the LCM of 88727 and 88731.

LCM(88727,88731) = 831 × 10691 × 32 × 98591
LCM(88727,88731) = 7872835437