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What is the Least Common Multiple of 18149 and 18160?

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 18160 is 329585840.

LCM(18149,18160) = 329585840

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Least Common Multiple of 18149 and 18160 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 18160, than apply into the LCM equation.

GCF(18149,18160) = 1
LCM(18149,18160) = ( 18149 × 18160) / 1
LCM(18149,18160) = 329585840 / 1
LCM(18149,18160) = 329585840

Least Common Multiple (LCM) of 18149 and 18160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18149 and 18160. First we will calculate the prime factors of 18149 and 18160.

Prime Factorization of 18149

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

18149 = 181491

Prime Factorization of 18160

Prime factors of 18160 are 2, 5, 227. Prime factorization of 18160 in exponential form is:

18160 = 24 × 51 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 18149 and 18160.

LCM(18149,18160) = 181491 × 24 × 51 × 2271
LCM(18149,18160) = 329585840