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What is the Least Common Multiple of 55683 and 55691?

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 55683 and 55691 is 3101041953.

LCM(55683,55691) = 3101041953

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Least Common Multiple of 55683 and 55691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55683 and 55691, than apply into the LCM equation.

GCF(55683,55691) = 1
LCM(55683,55691) = ( 55683 × 55691) / 1
LCM(55683,55691) = 3101041953 / 1
LCM(55683,55691) = 3101041953

Least Common Multiple (LCM) of 55683 and 55691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55683 and 55691. First we will calculate the prime factors of 55683 and 55691.

Prime Factorization of 55683

Prime factors of 55683 are 3, 23, 269. Prime factorization of 55683 in exponential form is:

55683 = 32 × 231 × 2691

Prime Factorization of 55691

Prime factors of 55691 are 55691. Prime factorization of 55691 in exponential form is:

55691 = 556911

Now multiplying the highest exponent prime factors to calculate the LCM of 55683 and 55691.

LCM(55683,55691) = 32 × 231 × 2691 × 556911
LCM(55683,55691) = 3101041953