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What is the Least Common Multiple of 14747 and 14756?

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 14747 and 14756 is 217606732.

LCM(14747,14756) = 217606732

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Least Common Multiple of 14747 and 14756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14747 and 14756, than apply into the LCM equation.

GCF(14747,14756) = 1
LCM(14747,14756) = ( 14747 × 14756) / 1
LCM(14747,14756) = 217606732 / 1
LCM(14747,14756) = 217606732

Least Common Multiple (LCM) of 14747 and 14756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14747 and 14756. First we will calculate the prime factors of 14747 and 14756.

Prime Factorization of 14747

Prime factors of 14747 are 14747. Prime factorization of 14747 in exponential form is:

14747 = 147471

Prime Factorization of 14756

Prime factors of 14756 are 2, 7, 17, 31. Prime factorization of 14756 in exponential form is:

14756 = 22 × 71 × 171 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 14747 and 14756.

LCM(14747,14756) = 147471 × 22 × 71 × 171 × 311
LCM(14747,14756) = 217606732