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What is the Least Common Multiple of 19001 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 19001 and 19009 is 361190009.

LCM(19001,19009) = 361190009

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Least Common Multiple of 19001 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 19001 and 19009, than apply into the LCM equation.

GCF(19001,19009) = 1
LCM(19001,19009) = ( 19001 × 19009) / 1
LCM(19001,19009) = 361190009 / 1
LCM(19001,19009) = 361190009

Least Common Multiple (LCM) of 19001 and 19009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19001 and 19009. First we will calculate the prime factors of 19001 and 19009.

Prime Factorization of 19001

Prime factors of 19001 are 19001. Prime factorization of 19001 in exponential form is:

19001 = 190011

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 19001 and 19009.

LCM(19001,19009) = 190011 × 190091
LCM(19001,19009) = 361190009