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What is the Least Common Multiple of 18755 and 18771?

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 18755 and 18771 is 352050105.

LCM(18755,18771) = 352050105

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Least Common Multiple of 18755 and 18771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18755 and 18771, than apply into the LCM equation.

GCF(18755,18771) = 1
LCM(18755,18771) = ( 18755 × 18771) / 1
LCM(18755,18771) = 352050105 / 1
LCM(18755,18771) = 352050105

Least Common Multiple (LCM) of 18755 and 18771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18755 and 18771. First we will calculate the prime factors of 18755 and 18771.

Prime Factorization of 18755

Prime factors of 18755 are 5, 11, 31. Prime factorization of 18755 in exponential form is:

18755 = 51 × 112 × 311

Prime Factorization of 18771

Prime factors of 18771 are 3, 6257. Prime factorization of 18771 in exponential form is:

18771 = 31 × 62571

Now multiplying the highest exponent prime factors to calculate the LCM of 18755 and 18771.

LCM(18755,18771) = 51 × 112 × 311 × 31 × 62571
LCM(18755,18771) = 352050105