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What is the Least Common Multiple of 16178 and 16182?

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 16178 and 16182 is 130896198.

LCM(16178,16182) = 130896198

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Least Common Multiple of 16178 and 16182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16178 and 16182, than apply into the LCM equation.

GCF(16178,16182) = 2
LCM(16178,16182) = ( 16178 × 16182) / 2
LCM(16178,16182) = 261792396 / 2
LCM(16178,16182) = 130896198

Least Common Multiple (LCM) of 16178 and 16182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16178 and 16182. First we will calculate the prime factors of 16178 and 16182.

Prime Factorization of 16178

Prime factors of 16178 are 2, 8089. Prime factorization of 16178 in exponential form is:

16178 = 21 × 80891

Prime Factorization of 16182

Prime factors of 16182 are 2, 3, 29, 31. Prime factorization of 16182 in exponential form is:

16182 = 21 × 32 × 291 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 16178 and 16182.

LCM(16178,16182) = 21 × 80891 × 32 × 291 × 311
LCM(16178,16182) = 130896198