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What is the Least Common Multiple of 6943 and 6960?

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 6943 and 6960 is 48323280.

LCM(6943,6960) = 48323280

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Least Common Multiple of 6943 and 6960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6943 and 6960, than apply into the LCM equation.

GCF(6943,6960) = 1
LCM(6943,6960) = ( 6943 × 6960) / 1
LCM(6943,6960) = 48323280 / 1
LCM(6943,6960) = 48323280

Least Common Multiple (LCM) of 6943 and 6960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6943 and 6960. First we will calculate the prime factors of 6943 and 6960.

Prime Factorization of 6943

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

6943 = 531 × 1311

Prime Factorization of 6960

Prime factors of 6960 are 2, 3, 5, 29. Prime factorization of 6960 in exponential form is:

6960 = 24 × 31 × 51 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 6943 and 6960.

LCM(6943,6960) = 531 × 1311 × 24 × 31 × 51 × 291
LCM(6943,6960) = 48323280