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What is the Least Common Multiple of 14024 and 14028?

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 14028 is 49182168.

LCM(14024,14028) = 49182168

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Least Common Multiple of 14024 and 14028 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 14028, than apply into the LCM equation.

GCF(14024,14028) = 4
LCM(14024,14028) = ( 14024 × 14028) / 4
LCM(14024,14028) = 196728672 / 4
LCM(14024,14028) = 49182168

Least Common Multiple (LCM) of 14024 and 14028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14024 and 14028. First we will calculate the prime factors of 14024 and 14028.

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 14028

Prime factors of 14028 are 2, 3, 7, 167. Prime factorization of 14028 in exponential form is:

14028 = 22 × 31 × 71 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 14024 and 14028.

LCM(14024,14028) = 23 × 17531 × 31 × 71 × 1671
LCM(14024,14028) = 49182168