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What is the Least Common Multiple of 18781 and 18794?

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 18781 and 18794 is 352970114.

LCM(18781,18794) = 352970114

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Least Common Multiple of 18781 and 18794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18781 and 18794, than apply into the LCM equation.

GCF(18781,18794) = 1
LCM(18781,18794) = ( 18781 × 18794) / 1
LCM(18781,18794) = 352970114 / 1
LCM(18781,18794) = 352970114

Least Common Multiple (LCM) of 18781 and 18794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18781 and 18794. First we will calculate the prime factors of 18781 and 18794.

Prime Factorization of 18781

Prime factors of 18781 are 7, 2683. Prime factorization of 18781 in exponential form is:

18781 = 71 × 26831

Prime Factorization of 18794

Prime factors of 18794 are 2, 9397. Prime factorization of 18794 in exponential form is:

18794 = 21 × 93971

Now multiplying the highest exponent prime factors to calculate the LCM of 18781 and 18794.

LCM(18781,18794) = 71 × 26831 × 21 × 93971
LCM(18781,18794) = 352970114