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What is the Least Common Multiple of 55710 and 55727?

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 55710 and 55727 is 3104551170.

LCM(55710,55727) = 3104551170

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Least Common Multiple of 55710 and 55727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55710 and 55727, than apply into the LCM equation.

GCF(55710,55727) = 1
LCM(55710,55727) = ( 55710 × 55727) / 1
LCM(55710,55727) = 3104551170 / 1
LCM(55710,55727) = 3104551170

Least Common Multiple (LCM) of 55710 and 55727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55710 and 55727. First we will calculate the prime factors of 55710 and 55727.

Prime Factorization of 55710

Prime factors of 55710 are 2, 3, 5, 619. Prime factorization of 55710 in exponential form is:

55710 = 21 × 32 × 51 × 6191

Prime Factorization of 55727

Prime factors of 55727 are 7, 19, 419. Prime factorization of 55727 in exponential form is:

55727 = 71 × 191 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 55710 and 55727.

LCM(55710,55727) = 21 × 32 × 51 × 6191 × 71 × 191 × 4191
LCM(55710,55727) = 3104551170