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What is the Least Common Multiple of 13120 and 13130?

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 13120 and 13130 is 17226560.

LCM(13120,13130) = 17226560

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Least Common Multiple of 13120 and 13130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13120 and 13130, than apply into the LCM equation.

GCF(13120,13130) = 10
LCM(13120,13130) = ( 13120 × 13130) / 10
LCM(13120,13130) = 172265600 / 10
LCM(13120,13130) = 17226560

Least Common Multiple (LCM) of 13120 and 13130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13120 and 13130. First we will calculate the prime factors of 13120 and 13130.

Prime Factorization of 13120

Prime factors of 13120 are 2, 5, 41. Prime factorization of 13120 in exponential form is:

13120 = 26 × 51 × 411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 13120 and 13130.

LCM(13120,13130) = 26 × 51 × 411 × 131 × 1011
LCM(13120,13130) = 17226560