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What is the Least Common Multiple of 13136 and 13156?

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 13136 and 13156 is 43204304.

LCM(13136,13156) = 43204304

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Least Common Multiple of 13136 and 13156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13136 and 13156, than apply into the LCM equation.

GCF(13136,13156) = 4
LCM(13136,13156) = ( 13136 × 13156) / 4
LCM(13136,13156) = 172817216 / 4
LCM(13136,13156) = 43204304

Least Common Multiple (LCM) of 13136 and 13156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13136 and 13156. First we will calculate the prime factors of 13136 and 13156.

Prime Factorization of 13136

Prime factors of 13136 are 2, 821. Prime factorization of 13136 in exponential form is:

13136 = 24 × 8211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 13136 and 13156.

LCM(13136,13156) = 24 × 8211 × 111 × 131 × 231
LCM(13136,13156) = 43204304