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What is the Least Common Multiple of 18782 and 18788?

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 18782 and 18788 is 176438108.

LCM(18782,18788) = 176438108

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Least Common Multiple of 18782 and 18788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18782 and 18788, than apply into the LCM equation.

GCF(18782,18788) = 2
LCM(18782,18788) = ( 18782 × 18788) / 2
LCM(18782,18788) = 352876216 / 2
LCM(18782,18788) = 176438108

Least Common Multiple (LCM) of 18782 and 18788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18782 and 18788. First we will calculate the prime factors of 18782 and 18788.

Prime Factorization of 18782

Prime factors of 18782 are 2, 9391. Prime factorization of 18782 in exponential form is:

18782 = 21 × 93911

Prime Factorization of 18788

Prime factors of 18788 are 2, 7, 11, 61. Prime factorization of 18788 in exponential form is:

18788 = 22 × 71 × 111 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 18782 and 18788.

LCM(18782,18788) = 22 × 93911 × 71 × 111 × 611
LCM(18782,18788) = 176438108