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What is the Least Common Multiple of 33844 and 33863?

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 33844 and 33863 is 1146059372.

LCM(33844,33863) = 1146059372

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Least Common Multiple of 33844 and 33863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33844 and 33863, than apply into the LCM equation.

GCF(33844,33863) = 1
LCM(33844,33863) = ( 33844 × 33863) / 1
LCM(33844,33863) = 1146059372 / 1
LCM(33844,33863) = 1146059372

Least Common Multiple (LCM) of 33844 and 33863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33844 and 33863. First we will calculate the prime factors of 33844 and 33863.

Prime Factorization of 33844

Prime factors of 33844 are 2, 8461. Prime factorization of 33844 in exponential form is:

33844 = 22 × 84611

Prime Factorization of 33863

Prime factors of 33863 are 33863. Prime factorization of 33863 in exponential form is:

33863 = 338631

Now multiplying the highest exponent prime factors to calculate the LCM of 33844 and 33863.

LCM(33844,33863) = 22 × 84611 × 338631
LCM(33844,33863) = 1146059372