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What is the Least Common Multiple of 3956 and 3966?

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 3956 and 3966 is 7844748.

LCM(3956,3966) = 7844748

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Least Common Multiple of 3956 and 3966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3956 and 3966, than apply into the LCM equation.

GCF(3956,3966) = 2
LCM(3956,3966) = ( 3956 × 3966) / 2
LCM(3956,3966) = 15689496 / 2
LCM(3956,3966) = 7844748

Least Common Multiple (LCM) of 3956 and 3966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3956 and 3966. First we will calculate the prime factors of 3956 and 3966.

Prime Factorization of 3956

Prime factors of 3956 are 2, 23, 43. Prime factorization of 3956 in exponential form is:

3956 = 22 × 231 × 431

Prime Factorization of 3966

Prime factors of 3966 are 2, 3, 661. Prime factorization of 3966 in exponential form is:

3966 = 21 × 31 × 6611

Now multiplying the highest exponent prime factors to calculate the LCM of 3956 and 3966.

LCM(3956,3966) = 22 × 231 × 431 × 31 × 6611
LCM(3956,3966) = 7844748