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What is the Least Common Multiple of 19088 and 19104?

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 19088 and 19104 is 22791072.

LCM(19088,19104) = 22791072

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Least Common Multiple of 19088 and 19104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19088 and 19104, than apply into the LCM equation.

GCF(19088,19104) = 16
LCM(19088,19104) = ( 19088 × 19104) / 16
LCM(19088,19104) = 364657152 / 16
LCM(19088,19104) = 22791072

Least Common Multiple (LCM) of 19088 and 19104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19088 and 19104. First we will calculate the prime factors of 19088 and 19104.

Prime Factorization of 19088

Prime factors of 19088 are 2, 1193. Prime factorization of 19088 in exponential form is:

19088 = 24 × 11931

Prime Factorization of 19104

Prime factors of 19104 are 2, 3, 199. Prime factorization of 19104 in exponential form is:

19104 = 25 × 31 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 19088 and 19104.

LCM(19088,19104) = 25 × 11931 × 31 × 1991
LCM(19088,19104) = 22791072