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What is the Least Common Multiple of 19024 and 19044?

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 19024 and 19044 is 90573264.

LCM(19024,19044) = 90573264

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Least Common Multiple of 19024 and 19044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19024 and 19044, than apply into the LCM equation.

GCF(19024,19044) = 4
LCM(19024,19044) = ( 19024 × 19044) / 4
LCM(19024,19044) = 362293056 / 4
LCM(19024,19044) = 90573264

Least Common Multiple (LCM) of 19024 and 19044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19024 and 19044. First we will calculate the prime factors of 19024 and 19044.

Prime Factorization of 19024

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

19024 = 24 × 291 × 411

Prime Factorization of 19044

Prime factors of 19044 are 2, 3, 23. Prime factorization of 19044 in exponential form is:

19044 = 22 × 32 × 232

Now multiplying the highest exponent prime factors to calculate the LCM of 19024 and 19044.

LCM(19024,19044) = 24 × 291 × 411 × 32 × 232
LCM(19024,19044) = 90573264