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What is the Least Common Multiple of 13280 and 13293?

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 13280 and 13293 is 176531040.

LCM(13280,13293) = 176531040

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Least Common Multiple of 13280 and 13293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13280 and 13293, than apply into the LCM equation.

GCF(13280,13293) = 1
LCM(13280,13293) = ( 13280 × 13293) / 1
LCM(13280,13293) = 176531040 / 1
LCM(13280,13293) = 176531040

Least Common Multiple (LCM) of 13280 and 13293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13280 and 13293. First we will calculate the prime factors of 13280 and 13293.

Prime Factorization of 13280

Prime factors of 13280 are 2, 5, 83. Prime factorization of 13280 in exponential form is:

13280 = 25 × 51 × 831

Prime Factorization of 13293

Prime factors of 13293 are 3, 7, 211. Prime factorization of 13293 in exponential form is:

13293 = 32 × 71 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 13280 and 13293.

LCM(13280,13293) = 25 × 51 × 831 × 32 × 71 × 2111
LCM(13280,13293) = 176531040