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What is the Least Common Multiple of 43162 and 43166?

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 43162 and 43166 is 931565446.

LCM(43162,43166) = 931565446

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Least Common Multiple of 43162 and 43166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43162 and 43166, than apply into the LCM equation.

GCF(43162,43166) = 2
LCM(43162,43166) = ( 43162 × 43166) / 2
LCM(43162,43166) = 1863130892 / 2
LCM(43162,43166) = 931565446

Least Common Multiple (LCM) of 43162 and 43166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43162 and 43166. First we will calculate the prime factors of 43162 and 43166.

Prime Factorization of 43162

Prime factors of 43162 are 2, 7, 3083. Prime factorization of 43162 in exponential form is:

43162 = 21 × 71 × 30831

Prime Factorization of 43166

Prime factors of 43166 are 2, 113, 191. Prime factorization of 43166 in exponential form is:

43166 = 21 × 1131 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 43162 and 43166.

LCM(43162,43166) = 21 × 71 × 30831 × 1131 × 1911
LCM(43162,43166) = 931565446