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What is the Least Common Multiple of 13028 and 13034?

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 13028 and 13034 is 84903476.

LCM(13028,13034) = 84903476

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Least Common Multiple of 13028 and 13034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13028 and 13034, than apply into the LCM equation.

GCF(13028,13034) = 2
LCM(13028,13034) = ( 13028 × 13034) / 2
LCM(13028,13034) = 169806952 / 2
LCM(13028,13034) = 84903476

Least Common Multiple (LCM) of 13028 and 13034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13028 and 13034. First we will calculate the prime factors of 13028 and 13034.

Prime Factorization of 13028

Prime factors of 13028 are 2, 3257. Prime factorization of 13028 in exponential form is:

13028 = 22 × 32571

Prime Factorization of 13034

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

13034 = 21 × 73 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 13028 and 13034.

LCM(13028,13034) = 22 × 32571 × 73 × 191
LCM(13028,13034) = 84903476