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What is the Least Common Multiple of 14036 and 14056?

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 14036 and 14056 is 49322504.

LCM(14036,14056) = 49322504

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Least Common Multiple of 14036 and 14056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14036 and 14056, than apply into the LCM equation.

GCF(14036,14056) = 4
LCM(14036,14056) = ( 14036 × 14056) / 4
LCM(14036,14056) = 197290016 / 4
LCM(14036,14056) = 49322504

Least Common Multiple (LCM) of 14036 and 14056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14036 and 14056. First we will calculate the prime factors of 14036 and 14056.

Prime Factorization of 14036

Prime factors of 14036 are 2, 11, 29. Prime factorization of 14036 in exponential form is:

14036 = 22 × 112 × 291

Prime Factorization of 14056

Prime factors of 14056 are 2, 7, 251. Prime factorization of 14056 in exponential form is:

14056 = 23 × 71 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 14036 and 14056.

LCM(14036,14056) = 23 × 112 × 291 × 71 × 2511
LCM(14036,14056) = 49322504