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What is the Least Common Multiple of 14025 and 14029?

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 14025 and 14029 is 196756725.

LCM(14025,14029) = 196756725

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Least Common Multiple of 14025 and 14029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14025 and 14029, than apply into the LCM equation.

GCF(14025,14029) = 1
LCM(14025,14029) = ( 14025 × 14029) / 1
LCM(14025,14029) = 196756725 / 1
LCM(14025,14029) = 196756725

Least Common Multiple (LCM) of 14025 and 14029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14025 and 14029. First we will calculate the prime factors of 14025 and 14029.

Prime Factorization of 14025

Prime factors of 14025 are 3, 5, 11, 17. Prime factorization of 14025 in exponential form is:

14025 = 31 × 52 × 111 × 171

Prime Factorization of 14029

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

14029 = 140291

Now multiplying the highest exponent prime factors to calculate the LCM of 14025 and 14029.

LCM(14025,14029) = 31 × 52 × 111 × 171 × 140291
LCM(14025,14029) = 196756725