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What is the Least Common Multiple of 13028 and 13032?

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 13032 is 42445224.

LCM(13028,13032) = 42445224

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Least Common Multiple of 13028 and 13032 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 13032, than apply into the LCM equation.

GCF(13028,13032) = 4
LCM(13028,13032) = ( 13028 × 13032) / 4
LCM(13028,13032) = 169780896 / 4
LCM(13028,13032) = 42445224

Least Common Multiple (LCM) of 13028 and 13032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13028 and 13032. First we will calculate the prime factors of 13028 and 13032.

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 13032

Prime factors of 13032 are 2, 3, 181. Prime factorization of 13032 in exponential form is:

13032 = 23 × 32 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 13028 and 13032.

LCM(13028,13032) = 23 × 32571 × 32 × 1811
LCM(13028,13032) = 42445224