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What is the Least Common Multiple of 11032 and 11040?

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 11032 and 11040 is 15224160.

LCM(11032,11040) = 15224160

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Least Common Multiple of 11032 and 11040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11032 and 11040, than apply into the LCM equation.

GCF(11032,11040) = 8
LCM(11032,11040) = ( 11032 × 11040) / 8
LCM(11032,11040) = 121793280 / 8
LCM(11032,11040) = 15224160

Least Common Multiple (LCM) of 11032 and 11040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11032 and 11040. First we will calculate the prime factors of 11032 and 11040.

Prime Factorization of 11032

Prime factors of 11032 are 2, 7, 197. Prime factorization of 11032 in exponential form is:

11032 = 23 × 71 × 1971

Prime Factorization of 11040

Prime factors of 11040 are 2, 3, 5, 23. Prime factorization of 11040 in exponential form is:

11040 = 25 × 31 × 51 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 11032 and 11040.

LCM(11032,11040) = 25 × 71 × 1971 × 31 × 51 × 231
LCM(11032,11040) = 15224160