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What is the Least Common Multiple of 14032 and 14038?

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 14032 and 14038 is 98490608.

LCM(14032,14038) = 98490608

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Least Common Multiple of 14032 and 14038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14032 and 14038, than apply into the LCM equation.

GCF(14032,14038) = 2
LCM(14032,14038) = ( 14032 × 14038) / 2
LCM(14032,14038) = 196981216 / 2
LCM(14032,14038) = 98490608

Least Common Multiple (LCM) of 14032 and 14038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14032 and 14038. First we will calculate the prime factors of 14032 and 14038.

Prime Factorization of 14032

Prime factors of 14032 are 2, 877. Prime factorization of 14032 in exponential form is:

14032 = 24 × 8771

Prime Factorization of 14038

Prime factors of 14038 are 2, 7019. Prime factorization of 14038 in exponential form is:

14038 = 21 × 70191

Now multiplying the highest exponent prime factors to calculate the LCM of 14032 and 14038.

LCM(14032,14038) = 24 × 8771 × 70191
LCM(14032,14038) = 98490608