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What is the Least Common Multiple of 42163 and 42182?

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 42163 and 42182 is 1778519666.

LCM(42163,42182) = 1778519666

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Least Common Multiple of 42163 and 42182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42163 and 42182, than apply into the LCM equation.

GCF(42163,42182) = 1
LCM(42163,42182) = ( 42163 × 42182) / 1
LCM(42163,42182) = 1778519666 / 1
LCM(42163,42182) = 1778519666

Least Common Multiple (LCM) of 42163 and 42182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42163 and 42182. First we will calculate the prime factors of 42163 and 42182.

Prime Factorization of 42163

Prime factors of 42163 are 11, 3833. Prime factorization of 42163 in exponential form is:

42163 = 111 × 38331

Prime Factorization of 42182

Prime factors of 42182 are 2, 7, 23, 131. Prime factorization of 42182 in exponential form is:

42182 = 21 × 71 × 231 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 42163 and 42182.

LCM(42163,42182) = 111 × 38331 × 21 × 71 × 231 × 1311
LCM(42163,42182) = 1778519666