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What is the Least Common Multiple of 47159 and 47171?

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 47159 and 47171 is 2224537189.

LCM(47159,47171) = 2224537189

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Least Common Multiple of 47159 and 47171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47159 and 47171, than apply into the LCM equation.

GCF(47159,47171) = 1
LCM(47159,47171) = ( 47159 × 47171) / 1
LCM(47159,47171) = 2224537189 / 1
LCM(47159,47171) = 2224537189

Least Common Multiple (LCM) of 47159 and 47171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47159 and 47171. First we will calculate the prime factors of 47159 and 47171.

Prime Factorization of 47159

Prime factors of 47159 are 7, 6737. Prime factorization of 47159 in exponential form is:

47159 = 71 × 67371

Prime Factorization of 47171

Prime factors of 47171 are 43, 1097. Prime factorization of 47171 in exponential form is:

47171 = 431 × 10971

Now multiplying the highest exponent prime factors to calculate the LCM of 47159 and 47171.

LCM(47159,47171) = 71 × 67371 × 431 × 10971
LCM(47159,47171) = 2224537189