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What is the Least Common Multiple of 3947 and 3959?

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 3947 and 3959 is 15626173.

LCM(3947,3959) = 15626173

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Least Common Multiple of 3947 and 3959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3947 and 3959, than apply into the LCM equation.

GCF(3947,3959) = 1
LCM(3947,3959) = ( 3947 × 3959) / 1
LCM(3947,3959) = 15626173 / 1
LCM(3947,3959) = 15626173

Least Common Multiple (LCM) of 3947 and 3959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3947 and 3959. First we will calculate the prime factors of 3947 and 3959.

Prime Factorization of 3947

Prime factors of 3947 are 3947. Prime factorization of 3947 in exponential form is:

3947 = 39471

Prime Factorization of 3959

Prime factors of 3959 are 37, 107. Prime factorization of 3959 in exponential form is:

3959 = 371 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 3947 and 3959.

LCM(3947,3959) = 39471 × 371 × 1071
LCM(3947,3959) = 15626173