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What is the Least Common Multiple of 16182 and 16196?

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 16182 and 16196 is 131041836.

LCM(16182,16196) = 131041836

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Least Common Multiple of 16182 and 16196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16182 and 16196, than apply into the LCM equation.

GCF(16182,16196) = 2
LCM(16182,16196) = ( 16182 × 16196) / 2
LCM(16182,16196) = 262083672 / 2
LCM(16182,16196) = 131041836

Least Common Multiple (LCM) of 16182 and 16196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16182 and 16196. First we will calculate the prime factors of 16182 and 16196.

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

Prime Factorization of 16196

Prime factors of 16196 are 2, 4049. Prime factorization of 16196 in exponential form is:

16196 = 22 × 40491

Now multiplying the highest exponent prime factors to calculate the LCM of 16182 and 16196.

LCM(16182,16196) = 22 × 32 × 291 × 311 × 40491
LCM(16182,16196) = 131041836