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What is the Least Common Multiple of 18691 and 18696?

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 18691 and 18696 is 349446936.

LCM(18691,18696) = 349446936

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Least Common Multiple of 18691 and 18696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18691 and 18696, than apply into the LCM equation.

GCF(18691,18696) = 1
LCM(18691,18696) = ( 18691 × 18696) / 1
LCM(18691,18696) = 349446936 / 1
LCM(18691,18696) = 349446936

Least Common Multiple (LCM) of 18691 and 18696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18691 and 18696. First we will calculate the prime factors of 18691 and 18696.

Prime Factorization of 18691

Prime factors of 18691 are 18691. Prime factorization of 18691 in exponential form is:

18691 = 186911

Prime Factorization of 18696

Prime factors of 18696 are 2, 3, 19, 41. Prime factorization of 18696 in exponential form is:

18696 = 23 × 31 × 191 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 18691 and 18696.

LCM(18691,18696) = 186911 × 23 × 31 × 191 × 411
LCM(18691,18696) = 349446936