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What is the Least Common Multiple of 18088 and 18096?

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 18088 and 18096 is 40915056.

LCM(18088,18096) = 40915056

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Least Common Multiple of 18088 and 18096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18088 and 18096, than apply into the LCM equation.

GCF(18088,18096) = 8
LCM(18088,18096) = ( 18088 × 18096) / 8
LCM(18088,18096) = 327320448 / 8
LCM(18088,18096) = 40915056

Least Common Multiple (LCM) of 18088 and 18096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18088 and 18096. First we will calculate the prime factors of 18088 and 18096.

Prime Factorization of 18088

Prime factors of 18088 are 2, 7, 17, 19. Prime factorization of 18088 in exponential form is:

18088 = 23 × 71 × 171 × 191

Prime Factorization of 18096

Prime factors of 18096 are 2, 3, 13, 29. Prime factorization of 18096 in exponential form is:

18096 = 24 × 31 × 131 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 18088 and 18096.

LCM(18088,18096) = 24 × 71 × 171 × 191 × 31 × 131 × 291
LCM(18088,18096) = 40915056