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What is the Least Common Multiple of 55727 and 55742?

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 55727 and 55742 is 3106334434.

LCM(55727,55742) = 3106334434

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Least Common Multiple of 55727 and 55742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55727 and 55742, than apply into the LCM equation.

GCF(55727,55742) = 1
LCM(55727,55742) = ( 55727 × 55742) / 1
LCM(55727,55742) = 3106334434 / 1
LCM(55727,55742) = 3106334434

Least Common Multiple (LCM) of 55727 and 55742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55727 and 55742. First we will calculate the prime factors of 55727 and 55742.

Prime Factorization of 55727

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

55727 = 71 × 191 × 4191

Prime Factorization of 55742

Prime factors of 55742 are 2, 47, 593. Prime factorization of 55742 in exponential form is:

55742 = 21 × 471 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 55727 and 55742.

LCM(55727,55742) = 71 × 191 × 4191 × 21 × 471 × 5931
LCM(55727,55742) = 3106334434