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What is the Least Common Multiple of 12110 and 12128?

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 12110 and 12128 is 73435040.

LCM(12110,12128) = 73435040

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Least Common Multiple of 12110 and 12128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12110 and 12128, than apply into the LCM equation.

GCF(12110,12128) = 2
LCM(12110,12128) = ( 12110 × 12128) / 2
LCM(12110,12128) = 146870080 / 2
LCM(12110,12128) = 73435040

Least Common Multiple (LCM) of 12110 and 12128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12110 and 12128. First we will calculate the prime factors of 12110 and 12128.

Prime Factorization of 12110

Prime factors of 12110 are 2, 5, 7, 173. Prime factorization of 12110 in exponential form is:

12110 = 21 × 51 × 71 × 1731

Prime Factorization of 12128

Prime factors of 12128 are 2, 379. Prime factorization of 12128 in exponential form is:

12128 = 25 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 12110 and 12128.

LCM(12110,12128) = 25 × 51 × 71 × 1731 × 3791
LCM(12110,12128) = 73435040