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What is the Least Common Multiple of 13034 and 13053?

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 13034 and 13053 is 8954358.

LCM(13034,13053) = 8954358

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Least Common Multiple of 13034 and 13053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13034 and 13053, than apply into the LCM equation.

GCF(13034,13053) = 19
LCM(13034,13053) = ( 13034 × 13053) / 19
LCM(13034,13053) = 170132802 / 19
LCM(13034,13053) = 8954358

Least Common Multiple (LCM) of 13034 and 13053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13034 and 13053. First we will calculate the prime factors of 13034 and 13053.

Prime Factorization of 13034

Prime factors of 13034 are 2, 7, 19. Prime factorization of 13034 in exponential form is:

13034 = 21 × 73 × 191

Prime Factorization of 13053

Prime factors of 13053 are 3, 19, 229. Prime factorization of 13053 in exponential form is:

13053 = 31 × 191 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 13034 and 13053.

LCM(13034,13053) = 21 × 73 × 191 × 31 × 2291
LCM(13034,13053) = 8954358