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What is the Least Common Multiple of 14024 and 14044?

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 14024 and 14044 is 49238264.

LCM(14024,14044) = 49238264

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Least Common Multiple of 14024 and 14044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14024 and 14044, than apply into the LCM equation.

GCF(14024,14044) = 4
LCM(14024,14044) = ( 14024 × 14044) / 4
LCM(14024,14044) = 196953056 / 4
LCM(14024,14044) = 49238264

Least Common Multiple (LCM) of 14024 and 14044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14024 and 14044. First we will calculate the prime factors of 14024 and 14044.

Prime Factorization of 14024

Prime factors of 14024 are 2, 1753. Prime factorization of 14024 in exponential form is:

14024 = 23 × 17531

Prime Factorization of 14044

Prime factors of 14044 are 2, 3511. Prime factorization of 14044 in exponential form is:

14044 = 22 × 35111

Now multiplying the highest exponent prime factors to calculate the LCM of 14024 and 14044.

LCM(14024,14044) = 23 × 17531 × 35111
LCM(14024,14044) = 49238264