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What is the Least Common Multiple of 13156 and 13160?

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 13156 and 13160 is 43283240.

LCM(13156,13160) = 43283240

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Least Common Multiple of 13156 and 13160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13156 and 13160, than apply into the LCM equation.

GCF(13156,13160) = 4
LCM(13156,13160) = ( 13156 × 13160) / 4
LCM(13156,13160) = 173132960 / 4
LCM(13156,13160) = 43283240

Least Common Multiple (LCM) of 13156 and 13160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13156 and 13160. First we will calculate the prime factors of 13156 and 13160.

Prime Factorization of 13156

Prime factors of 13156 are 2, 11, 13, 23. Prime factorization of 13156 in exponential form is:

13156 = 22 × 111 × 131 × 231

Prime Factorization of 13160

Prime factors of 13160 are 2, 5, 7, 47. Prime factorization of 13160 in exponential form is:

13160 = 23 × 51 × 71 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 13156 and 13160.

LCM(13156,13160) = 23 × 111 × 131 × 231 × 51 × 71 × 471
LCM(13156,13160) = 43283240