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What is the Least Common Multiple of 13019 and 13024?

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 13019 and 13024 is 169559456.

LCM(13019,13024) = 169559456

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Least Common Multiple of 13019 and 13024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13019 and 13024, than apply into the LCM equation.

GCF(13019,13024) = 1
LCM(13019,13024) = ( 13019 × 13024) / 1
LCM(13019,13024) = 169559456 / 1
LCM(13019,13024) = 169559456

Least Common Multiple (LCM) of 13019 and 13024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13019 and 13024. First we will calculate the prime factors of 13019 and 13024.

Prime Factorization of 13019

Prime factors of 13019 are 47, 277. Prime factorization of 13019 in exponential form is:

13019 = 471 × 2771

Prime Factorization of 13024

Prime factors of 13024 are 2, 11, 37. Prime factorization of 13024 in exponential form is:

13024 = 25 × 111 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 13019 and 13024.

LCM(13019,13024) = 471 × 2771 × 25 × 111 × 371
LCM(13019,13024) = 169559456