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What is the Least Common Multiple of 14029 and 14040?

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 14029 and 14040 is 196967160.

LCM(14029,14040) = 196967160

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Least Common Multiple of 14029 and 14040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14029 and 14040, than apply into the LCM equation.

GCF(14029,14040) = 1
LCM(14029,14040) = ( 14029 × 14040) / 1
LCM(14029,14040) = 196967160 / 1
LCM(14029,14040) = 196967160

Least Common Multiple (LCM) of 14029 and 14040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14029 and 14040. First we will calculate the prime factors of 14029 and 14040.

Prime Factorization of 14029

Prime factors of 14029 are 14029. Prime factorization of 14029 in exponential form is:

14029 = 140291

Prime Factorization of 14040

Prime factors of 14040 are 2, 3, 5, 13. Prime factorization of 14040 in exponential form is:

14040 = 23 × 33 × 51 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 14029 and 14040.

LCM(14029,14040) = 140291 × 23 × 33 × 51 × 131
LCM(14029,14040) = 196967160