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What is the Least Common Multiple of 47147 and 47166?

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 47166 is 2223735402.

LCM(47147,47166) = 2223735402

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Least Common Multiple of 47147 and 47166 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 47166, than apply into the LCM equation.

GCF(47147,47166) = 1
LCM(47147,47166) = ( 47147 × 47166) / 1
LCM(47147,47166) = 2223735402 / 1
LCM(47147,47166) = 2223735402

Least Common Multiple (LCM) of 47147 and 47166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47147 and 47166. First we will calculate the prime factors of 47147 and 47166.

Prime Factorization of 47147

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

47147 = 471471

Prime Factorization of 47166

Prime factors of 47166 are 2, 3, 7, 1123. Prime factorization of 47166 in exponential form is:

47166 = 21 × 31 × 71 × 11231

Now multiplying the highest exponent prime factors to calculate the LCM of 47147 and 47166.

LCM(47147,47166) = 471471 × 21 × 31 × 71 × 11231
LCM(47147,47166) = 2223735402