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What is the Least Common Multiple of 18149 and 18164?

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 18149 and 18164 is 329658436.

LCM(18149,18164) = 329658436

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Least Common Multiple of 18149 and 18164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18149 and 18164, than apply into the LCM equation.

GCF(18149,18164) = 1
LCM(18149,18164) = ( 18149 × 18164) / 1
LCM(18149,18164) = 329658436 / 1
LCM(18149,18164) = 329658436

Least Common Multiple (LCM) of 18149 and 18164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18149 and 18164. First we will calculate the prime factors of 18149 and 18164.

Prime Factorization of 18149

Prime factors of 18149 are 18149. Prime factorization of 18149 in exponential form is:

18149 = 181491

Prime Factorization of 18164

Prime factors of 18164 are 2, 19, 239. Prime factorization of 18164 in exponential form is:

18164 = 22 × 191 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 18149 and 18164.

LCM(18149,18164) = 181491 × 22 × 191 × 2391
LCM(18149,18164) = 329658436