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What is the Least Common Multiple of 32885 and 32891?

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 32885 and 32891 is 1081620535.

LCM(32885,32891) = 1081620535

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Least Common Multiple of 32885 and 32891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32885 and 32891, than apply into the LCM equation.

GCF(32885,32891) = 1
LCM(32885,32891) = ( 32885 × 32891) / 1
LCM(32885,32891) = 1081620535 / 1
LCM(32885,32891) = 1081620535

Least Common Multiple (LCM) of 32885 and 32891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32885 and 32891. First we will calculate the prime factors of 32885 and 32891.

Prime Factorization of 32885

Prime factors of 32885 are 5, 6577. Prime factorization of 32885 in exponential form is:

32885 = 51 × 65771

Prime Factorization of 32891

Prime factors of 32891 are 31, 1061. Prime factorization of 32891 in exponential form is:

32891 = 311 × 10611

Now multiplying the highest exponent prime factors to calculate the LCM of 32885 and 32891.

LCM(32885,32891) = 51 × 65771 × 311 × 10611
LCM(32885,32891) = 1081620535