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What is the Least Common Multiple of 33832 and 33851?

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 33832 and 33851 is 1145247032.

LCM(33832,33851) = 1145247032

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Least Common Multiple of 33832 and 33851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33832 and 33851, than apply into the LCM equation.

GCF(33832,33851) = 1
LCM(33832,33851) = ( 33832 × 33851) / 1
LCM(33832,33851) = 1145247032 / 1
LCM(33832,33851) = 1145247032

Least Common Multiple (LCM) of 33832 and 33851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33832 and 33851. First we will calculate the prime factors of 33832 and 33851.

Prime Factorization of 33832

Prime factors of 33832 are 2, 4229. Prime factorization of 33832 in exponential form is:

33832 = 23 × 42291

Prime Factorization of 33851

Prime factors of 33851 are 33851. Prime factorization of 33851 in exponential form is:

33851 = 338511

Now multiplying the highest exponent prime factors to calculate the LCM of 33832 and 33851.

LCM(33832,33851) = 23 × 42291 × 338511
LCM(33832,33851) = 1145247032