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What is the Least Common Multiple of 13824 and 13835?

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 13824 and 13835 is 191255040.

LCM(13824,13835) = 191255040

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Least Common Multiple of 13824 and 13835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13824 and 13835, than apply into the LCM equation.

GCF(13824,13835) = 1
LCM(13824,13835) = ( 13824 × 13835) / 1
LCM(13824,13835) = 191255040 / 1
LCM(13824,13835) = 191255040

Least Common Multiple (LCM) of 13824 and 13835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13824 and 13835. First we will calculate the prime factors of 13824 and 13835.

Prime Factorization of 13824

Prime factors of 13824 are 2, 3. Prime factorization of 13824 in exponential form is:

13824 = 29 × 33

Prime Factorization of 13835

Prime factors of 13835 are 5, 2767. Prime factorization of 13835 in exponential form is:

13835 = 51 × 27671

Now multiplying the highest exponent prime factors to calculate the LCM of 13824 and 13835.

LCM(13824,13835) = 29 × 33 × 51 × 27671
LCM(13824,13835) = 191255040