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What is the Least Common Multiple of 32881 and 32893?

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 32881 and 32893 is 1081554733.

LCM(32881,32893) = 1081554733

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Least Common Multiple of 32881 and 32893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32881 and 32893, than apply into the LCM equation.

GCF(32881,32893) = 1
LCM(32881,32893) = ( 32881 × 32893) / 1
LCM(32881,32893) = 1081554733 / 1
LCM(32881,32893) = 1081554733

Least Common Multiple (LCM) of 32881 and 32893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32881 and 32893. First we will calculate the prime factors of 32881 and 32893.

Prime Factorization of 32881

Prime factors of 32881 are 131, 251. Prime factorization of 32881 in exponential form is:

32881 = 1311 × 2511

Prime Factorization of 32893

Prime factors of 32893 are 7, 37, 127. Prime factorization of 32893 in exponential form is:

32893 = 71 × 371 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 32881 and 32893.

LCM(32881,32893) = 1311 × 2511 × 71 × 371 × 1271
LCM(32881,32893) = 1081554733