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What is the Least Common Multiple of 13959 and 13963?

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 13959 and 13963 is 194909517.

LCM(13959,13963) = 194909517

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Least Common Multiple of 13959 and 13963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13959 and 13963, than apply into the LCM equation.

GCF(13959,13963) = 1
LCM(13959,13963) = ( 13959 × 13963) / 1
LCM(13959,13963) = 194909517 / 1
LCM(13959,13963) = 194909517

Least Common Multiple (LCM) of 13959 and 13963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13959 and 13963. First we will calculate the prime factors of 13959 and 13963.

Prime Factorization of 13959

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

13959 = 33 × 111 × 471

Prime Factorization of 13963

Prime factors of 13963 are 13963. Prime factorization of 13963 in exponential form is:

13963 = 139631

Now multiplying the highest exponent prime factors to calculate the LCM of 13959 and 13963.

LCM(13959,13963) = 33 × 111 × 471 × 139631
LCM(13959,13963) = 194909517