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What is the Least Common Multiple of 13231 and 13244?

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 13231 and 13244 is 175231364.

LCM(13231,13244) = 175231364

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Least Common Multiple of 13231 and 13244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13231 and 13244, than apply into the LCM equation.

GCF(13231,13244) = 1
LCM(13231,13244) = ( 13231 × 13244) / 1
LCM(13231,13244) = 175231364 / 1
LCM(13231,13244) = 175231364

Least Common Multiple (LCM) of 13231 and 13244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13231 and 13244. First we will calculate the prime factors of 13231 and 13244.

Prime Factorization of 13231

Prime factors of 13231 are 101, 131. Prime factorization of 13231 in exponential form is:

13231 = 1011 × 1311

Prime Factorization of 13244

Prime factors of 13244 are 2, 7, 11, 43. Prime factorization of 13244 in exponential form is:

13244 = 22 × 71 × 111 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 13231 and 13244.

LCM(13231,13244) = 1011 × 1311 × 22 × 71 × 111 × 431
LCM(13231,13244) = 175231364