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What is the Least Common Multiple of 14044 and 14057?

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 14044 and 14057 is 197416508.

LCM(14044,14057) = 197416508

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Least Common Multiple of 14044 and 14057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14044 and 14057, than apply into the LCM equation.

GCF(14044,14057) = 1
LCM(14044,14057) = ( 14044 × 14057) / 1
LCM(14044,14057) = 197416508 / 1
LCM(14044,14057) = 197416508

Least Common Multiple (LCM) of 14044 and 14057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14044 and 14057. First we will calculate the prime factors of 14044 and 14057.

Prime Factorization of 14044

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

14044 = 22 × 35111

Prime Factorization of 14057

Prime factors of 14057 are 14057. Prime factorization of 14057 in exponential form is:

14057 = 140571

Now multiplying the highest exponent prime factors to calculate the LCM of 14044 and 14057.

LCM(14044,14057) = 22 × 35111 × 140571
LCM(14044,14057) = 197416508