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What is the Least Common Multiple of 13130 and 13144?

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 13130 and 13144 is 86290360.

LCM(13130,13144) = 86290360

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Least Common Multiple of 13130 and 13144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13130 and 13144, than apply into the LCM equation.

GCF(13130,13144) = 2
LCM(13130,13144) = ( 13130 × 13144) / 2
LCM(13130,13144) = 172580720 / 2
LCM(13130,13144) = 86290360

Least Common Multiple (LCM) of 13130 and 13144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13130 and 13144. First we will calculate the prime factors of 13130 and 13144.

Prime Factorization of 13130

Prime factors of 13130 are 2, 5, 13, 101. Prime factorization of 13130 in exponential form is:

13130 = 21 × 51 × 131 × 1011

Prime Factorization of 13144

Prime factors of 13144 are 2, 31, 53. Prime factorization of 13144 in exponential form is:

13144 = 23 × 311 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 13130 and 13144.

LCM(13130,13144) = 23 × 51 × 131 × 1011 × 311 × 531
LCM(13130,13144) = 86290360