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What is the Least Common Multiple of 32833 and 32852?

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 32833 and 32852 is 1078629716.

LCM(32833,32852) = 1078629716

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Least Common Multiple of 32833 and 32852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32833 and 32852, than apply into the LCM equation.

GCF(32833,32852) = 1
LCM(32833,32852) = ( 32833 × 32852) / 1
LCM(32833,32852) = 1078629716 / 1
LCM(32833,32852) = 1078629716

Least Common Multiple (LCM) of 32833 and 32852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32833 and 32852. First we will calculate the prime factors of 32833 and 32852.

Prime Factorization of 32833

Prime factors of 32833 are 32833. Prime factorization of 32833 in exponential form is:

32833 = 328331

Prime Factorization of 32852

Prime factors of 32852 are 2, 43, 191. Prime factorization of 32852 in exponential form is:

32852 = 22 × 431 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 32833 and 32852.

LCM(32833,32852) = 328331 × 22 × 431 × 1911
LCM(32833,32852) = 1078629716