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What is the Least Common Multiple of 6936 and 6943?

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 6936 and 6943 is 48156648.

LCM(6936,6943) = 48156648

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Least Common Multiple of 6936 and 6943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6936 and 6943, than apply into the LCM equation.

GCF(6936,6943) = 1
LCM(6936,6943) = ( 6936 × 6943) / 1
LCM(6936,6943) = 48156648 / 1
LCM(6936,6943) = 48156648

Least Common Multiple (LCM) of 6936 and 6943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6936 and 6943. First we will calculate the prime factors of 6936 and 6943.

Prime Factorization of 6936

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

6936 = 23 × 31 × 172

Prime Factorization of 6943

Prime factors of 6943 are 53, 131. Prime factorization of 6943 in exponential form is:

6943 = 531 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 6936 and 6943.

LCM(6936,6943) = 23 × 31 × 172 × 531 × 1311
LCM(6936,6943) = 48156648