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What is the Least Common Multiple of 19011 and 19024?

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 19011 and 19024 is 361665264.

LCM(19011,19024) = 361665264

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Least Common Multiple of 19011 and 19024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19011 and 19024, than apply into the LCM equation.

GCF(19011,19024) = 1
LCM(19011,19024) = ( 19011 × 19024) / 1
LCM(19011,19024) = 361665264 / 1
LCM(19011,19024) = 361665264

Least Common Multiple (LCM) of 19011 and 19024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19011 and 19024. First we will calculate the prime factors of 19011 and 19024.

Prime Factorization of 19011

Prime factors of 19011 are 3, 6337. Prime factorization of 19011 in exponential form is:

19011 = 31 × 63371

Prime Factorization of 19024

Prime factors of 19024 are 2, 29, 41. Prime factorization of 19024 in exponential form is:

19024 = 24 × 291 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 19011 and 19024.

LCM(19011,19024) = 31 × 63371 × 24 × 291 × 411
LCM(19011,19024) = 361665264