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What is the Least Common Multiple of 47556 and 47569?

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 47556 and 47569 is 2262191364.

LCM(47556,47569) = 2262191364

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Least Common Multiple of 47556 and 47569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47556 and 47569, than apply into the LCM equation.

GCF(47556,47569) = 1
LCM(47556,47569) = ( 47556 × 47569) / 1
LCM(47556,47569) = 2262191364 / 1
LCM(47556,47569) = 2262191364

Least Common Multiple (LCM) of 47556 and 47569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47556 and 47569. First we will calculate the prime factors of 47556 and 47569.

Prime Factorization of 47556

Prime factors of 47556 are 2, 3, 1321. Prime factorization of 47556 in exponential form is:

47556 = 22 × 32 × 13211

Prime Factorization of 47569

Prime factors of 47569 are 47569. Prime factorization of 47569 in exponential form is:

47569 = 475691

Now multiplying the highest exponent prime factors to calculate the LCM of 47556 and 47569.

LCM(47556,47569) = 22 × 32 × 13211 × 475691
LCM(47556,47569) = 2262191364