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What is the Least Common Multiple of 43147 and 43165?

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 43147 and 43165 is 1862440255.

LCM(43147,43165) = 1862440255

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Least Common Multiple of 43147 and 43165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43147 and 43165, than apply into the LCM equation.

GCF(43147,43165) = 1
LCM(43147,43165) = ( 43147 × 43165) / 1
LCM(43147,43165) = 1862440255 / 1
LCM(43147,43165) = 1862440255

Least Common Multiple (LCM) of 43147 and 43165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43147 and 43165. First we will calculate the prime factors of 43147 and 43165.

Prime Factorization of 43147

Prime factors of 43147 are 13, 3319. Prime factorization of 43147 in exponential form is:

43147 = 131 × 33191

Prime Factorization of 43165

Prime factors of 43165 are 5, 89, 97. Prime factorization of 43165 in exponential form is:

43165 = 51 × 891 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 43147 and 43165.

LCM(43147,43165) = 131 × 33191 × 51 × 891 × 971
LCM(43147,43165) = 1862440255