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What is the Least Common Multiple of 47147 and 47163?

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 47147 and 47163 is 2223593961.

LCM(47147,47163) = 2223593961

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Least Common Multiple of 47147 and 47163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47147 and 47163, than apply into the LCM equation.

GCF(47147,47163) = 1
LCM(47147,47163) = ( 47147 × 47163) / 1
LCM(47147,47163) = 2223593961 / 1
LCM(47147,47163) = 2223593961

Least Common Multiple (LCM) of 47147 and 47163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47147 and 47163. First we will calculate the prime factors of 47147 and 47163.

Prime Factorization of 47147

Prime factors of 47147 are 47147. Prime factorization of 47147 in exponential form is:

47147 = 471471

Prime Factorization of 47163

Prime factors of 47163 are 3, 79, 199. Prime factorization of 47163 in exponential form is:

47163 = 31 × 791 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 47147 and 47163.

LCM(47147,47163) = 471471 × 31 × 791 × 1991
LCM(47147,47163) = 2223593961