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What is the Least Common Multiple of 32801 and 32814?

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 32801 and 32814 is 1076332014.

LCM(32801,32814) = 1076332014

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Least Common Multiple of 32801 and 32814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32801 and 32814, than apply into the LCM equation.

GCF(32801,32814) = 1
LCM(32801,32814) = ( 32801 × 32814) / 1
LCM(32801,32814) = 1076332014 / 1
LCM(32801,32814) = 1076332014

Least Common Multiple (LCM) of 32801 and 32814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32801 and 32814. First we will calculate the prime factors of 32801 and 32814.

Prime Factorization of 32801

Prime factors of 32801 are 32801. Prime factorization of 32801 in exponential form is:

32801 = 328011

Prime Factorization of 32814

Prime factors of 32814 are 2, 3, 1823. Prime factorization of 32814 in exponential form is:

32814 = 21 × 32 × 18231

Now multiplying the highest exponent prime factors to calculate the LCM of 32801 and 32814.

LCM(32801,32814) = 328011 × 21 × 32 × 18231
LCM(32801,32814) = 1076332014