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What is the Least Common Multiple of 19009 and 19023?

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 19009 and 19023 is 361608207.

LCM(19009,19023) = 361608207

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Least Common Multiple of 19009 and 19023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19009 and 19023, than apply into the LCM equation.

GCF(19009,19023) = 1
LCM(19009,19023) = ( 19009 × 19023) / 1
LCM(19009,19023) = 361608207 / 1
LCM(19009,19023) = 361608207

Least Common Multiple (LCM) of 19009 and 19023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19009 and 19023. First we will calculate the prime factors of 19009 and 19023.

Prime Factorization of 19009

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

19009 = 190091

Prime Factorization of 19023

Prime factors of 19023 are 3, 17, 373. Prime factorization of 19023 in exponential form is:

19023 = 31 × 171 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 19009 and 19023.

LCM(19009,19023) = 190091 × 31 × 171 × 3731
LCM(19009,19023) = 361608207