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What is the Least Common Multiple of 32687 and 32691?

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 32687 and 32691 is 1068570717.

LCM(32687,32691) = 1068570717

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Least Common Multiple of 32687 and 32691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32687 and 32691, than apply into the LCM equation.

GCF(32687,32691) = 1
LCM(32687,32691) = ( 32687 × 32691) / 1
LCM(32687,32691) = 1068570717 / 1
LCM(32687,32691) = 1068570717

Least Common Multiple (LCM) of 32687 and 32691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32687 and 32691. First we will calculate the prime factors of 32687 and 32691.

Prime Factorization of 32687

Prime factors of 32687 are 32687. Prime factorization of 32687 in exponential form is:

32687 = 326871

Prime Factorization of 32691

Prime factors of 32691 are 3, 17, 641. Prime factorization of 32691 in exponential form is:

32691 = 31 × 171 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 32687 and 32691.

LCM(32687,32691) = 326871 × 31 × 171 × 6411
LCM(32687,32691) = 1068570717