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What is the Least Common Multiple of 17753 and 17766?

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 17753 and 17766 is 315399798.

LCM(17753,17766) = 315399798

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Least Common Multiple of 17753 and 17766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17753 and 17766, than apply into the LCM equation.

GCF(17753,17766) = 1
LCM(17753,17766) = ( 17753 × 17766) / 1
LCM(17753,17766) = 315399798 / 1
LCM(17753,17766) = 315399798

Least Common Multiple (LCM) of 17753 and 17766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17753 and 17766. First we will calculate the prime factors of 17753 and 17766.

Prime Factorization of 17753

Prime factors of 17753 are 41, 433. Prime factorization of 17753 in exponential form is:

17753 = 411 × 4331

Prime Factorization of 17766

Prime factors of 17766 are 2, 3, 7, 47. Prime factorization of 17766 in exponential form is:

17766 = 21 × 33 × 71 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 17753 and 17766.

LCM(17753,17766) = 411 × 4331 × 21 × 33 × 71 × 471
LCM(17753,17766) = 315399798