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What is the Least Common Multiple of 3178 and 3182?

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 3178 and 3182 is 5056198.

LCM(3178,3182) = 5056198

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Least Common Multiple of 3178 and 3182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3178 and 3182, than apply into the LCM equation.

GCF(3178,3182) = 2
LCM(3178,3182) = ( 3178 × 3182) / 2
LCM(3178,3182) = 10112396 / 2
LCM(3178,3182) = 5056198

Least Common Multiple (LCM) of 3178 and 3182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3178 and 3182. First we will calculate the prime factors of 3178 and 3182.

Prime Factorization of 3178

Prime factors of 3178 are 2, 7, 227. Prime factorization of 3178 in exponential form is:

3178 = 21 × 71 × 2271

Prime Factorization of 3182

Prime factors of 3182 are 2, 37, 43. Prime factorization of 3182 in exponential form is:

3182 = 21 × 371 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 3178 and 3182.

LCM(3178,3182) = 21 × 71 × 2271 × 371 × 431
LCM(3178,3182) = 5056198