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What is the Least Common Multiple of 55691 and 55709?

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 55691 and 55709 is 3102489919.

LCM(55691,55709) = 3102489919

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Least Common Multiple of 55691 and 55709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55691 and 55709, than apply into the LCM equation.

GCF(55691,55709) = 1
LCM(55691,55709) = ( 55691 × 55709) / 1
LCM(55691,55709) = 3102489919 / 1
LCM(55691,55709) = 3102489919

Least Common Multiple (LCM) of 55691 and 55709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55691 and 55709. First we will calculate the prime factors of 55691 and 55709.

Prime Factorization of 55691

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

55691 = 556911

Prime Factorization of 55709

Prime factors of 55709 are 17, 29, 113. Prime factorization of 55709 in exponential form is:

55709 = 171 × 291 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 55691 and 55709.

LCM(55691,55709) = 556911 × 171 × 291 × 1131
LCM(55691,55709) = 3102489919