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What is the Least Common Multiple of 19032 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 19032 and 19044 is 30203784.

LCM(19032,19044) = 30203784

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Least Common Multiple of 19032 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 19032 and 19044, than apply into the LCM equation.

GCF(19032,19044) = 12
LCM(19032,19044) = ( 19032 × 19044) / 12
LCM(19032,19044) = 362445408 / 12
LCM(19032,19044) = 30203784

Least Common Multiple (LCM) of 19032 and 19044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19032 and 19044. First we will calculate the prime factors of 19032 and 19044.

Prime Factorization of 19032

Prime factors of 19032 are 2, 3, 13, 61. Prime factorization of 19032 in exponential form is:

19032 = 23 × 31 × 131 × 611

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 19032 and 19044.

LCM(19032,19044) = 23 × 32 × 131 × 611 × 232
LCM(19032,19044) = 30203784