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What is the Least Common Multiple of 18999 and 19009?

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 18999 and 19009 is 361151991.

LCM(18999,19009) = 361151991

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Least Common Multiple of 18999 and 19009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18999 and 19009, than apply into the LCM equation.

GCF(18999,19009) = 1
LCM(18999,19009) = ( 18999 × 19009) / 1
LCM(18999,19009) = 361151991 / 1
LCM(18999,19009) = 361151991

Least Common Multiple (LCM) of 18999 and 19009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18999 and 19009. First we will calculate the prime factors of 18999 and 19009.

Prime Factorization of 18999

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

18999 = 32 × 21111

Prime Factorization of 19009

Prime factors of 19009 are 19009. Prime factorization of 19009 in exponential form is:

19009 = 190091

Now multiplying the highest exponent prime factors to calculate the LCM of 18999 and 19009.

LCM(18999,19009) = 32 × 21111 × 190091
LCM(18999,19009) = 361151991