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What is the Least Common Multiple of 13944 and 13959?

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 13944 and 13959 is 64881432.

LCM(13944,13959) = 64881432

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Least Common Multiple of 13944 and 13959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13944 and 13959, than apply into the LCM equation.

GCF(13944,13959) = 3
LCM(13944,13959) = ( 13944 × 13959) / 3
LCM(13944,13959) = 194644296 / 3
LCM(13944,13959) = 64881432

Least Common Multiple (LCM) of 13944 and 13959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13944 and 13959. First we will calculate the prime factors of 13944 and 13959.

Prime Factorization of 13944

Prime factors of 13944 are 2, 3, 7, 83. Prime factorization of 13944 in exponential form is:

13944 = 23 × 31 × 71 × 831

Prime Factorization of 13959

Prime factors of 13959 are 3, 11, 47. Prime factorization of 13959 in exponential form is:

13959 = 33 × 111 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 13944 and 13959.

LCM(13944,13959) = 23 × 33 × 71 × 831 × 111 × 471
LCM(13944,13959) = 64881432