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What is the Least Common Multiple of 18995 and 18999?

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 18995 and 18999 is 360886005.

LCM(18995,18999) = 360886005

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Least Common Multiple of 18995 and 18999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18995 and 18999, than apply into the LCM equation.

GCF(18995,18999) = 1
LCM(18995,18999) = ( 18995 × 18999) / 1
LCM(18995,18999) = 360886005 / 1
LCM(18995,18999) = 360886005

Least Common Multiple (LCM) of 18995 and 18999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18995 and 18999. First we will calculate the prime factors of 18995 and 18999.

Prime Factorization of 18995

Prime factors of 18995 are 5, 29, 131. Prime factorization of 18995 in exponential form is:

18995 = 51 × 291 × 1311

Prime Factorization of 18999

Prime factors of 18999 are 3, 2111. Prime factorization of 18999 in exponential form is:

18999 = 32 × 21111

Now multiplying the highest exponent prime factors to calculate the LCM of 18995 and 18999.

LCM(18995,18999) = 51 × 291 × 1311 × 32 × 21111
LCM(18995,18999) = 360886005