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What is the Least Common Multiple of 43156 and 43162?

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 43156 and 43162 is 931349636.

LCM(43156,43162) = 931349636

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Least Common Multiple of 43156 and 43162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43156 and 43162, than apply into the LCM equation.

GCF(43156,43162) = 2
LCM(43156,43162) = ( 43156 × 43162) / 2
LCM(43156,43162) = 1862699272 / 2
LCM(43156,43162) = 931349636

Least Common Multiple (LCM) of 43156 and 43162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43156 and 43162. First we will calculate the prime factors of 43156 and 43162.

Prime Factorization of 43156

Prime factors of 43156 are 2, 10789. Prime factorization of 43156 in exponential form is:

43156 = 22 × 107891

Prime Factorization of 43162

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

43162 = 21 × 71 × 30831

Now multiplying the highest exponent prime factors to calculate the LCM of 43156 and 43162.

LCM(43156,43162) = 22 × 107891 × 71 × 30831
LCM(43156,43162) = 931349636