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What is the Least Common Multiple of 55709 and 55723?

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 55709 and 55723 is 3104272607.

LCM(55709,55723) = 3104272607

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Least Common Multiple of 55709 and 55723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55709 and 55723, than apply into the LCM equation.

GCF(55709,55723) = 1
LCM(55709,55723) = ( 55709 × 55723) / 1
LCM(55709,55723) = 3104272607 / 1
LCM(55709,55723) = 3104272607

Least Common Multiple (LCM) of 55709 and 55723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55709 and 55723. First we will calculate the prime factors of 55709 and 55723.

Prime Factorization of 55709

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

55709 = 171 × 291 × 1131

Prime Factorization of 55723

Prime factors of 55723 are 103, 541. Prime factorization of 55723 in exponential form is:

55723 = 1031 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 55709 and 55723.

LCM(55709,55723) = 171 × 291 × 1131 × 1031 × 5411
LCM(55709,55723) = 3104272607