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What is the Least Common Multiple of 6916 and 6936?

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 6916 and 6936 is 11992344.

LCM(6916,6936) = 11992344

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Least Common Multiple of 6916 and 6936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6916 and 6936, than apply into the LCM equation.

GCF(6916,6936) = 4
LCM(6916,6936) = ( 6916 × 6936) / 4
LCM(6916,6936) = 47969376 / 4
LCM(6916,6936) = 11992344

Least Common Multiple (LCM) of 6916 and 6936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6916 and 6936. First we will calculate the prime factors of 6916 and 6936.

Prime Factorization of 6916

Prime factors of 6916 are 2, 7, 13, 19. Prime factorization of 6916 in exponential form is:

6916 = 22 × 71 × 131 × 191

Prime Factorization of 6936

Prime factors of 6936 are 2, 3, 17. Prime factorization of 6936 in exponential form is:

6936 = 23 × 31 × 172

Now multiplying the highest exponent prime factors to calculate the LCM of 6916 and 6936.

LCM(6916,6936) = 23 × 71 × 131 × 191 × 31 × 172
LCM(6916,6936) = 11992344