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What is the Least Common Multiple of 14025 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 14025 and 14038 is 196882950.

LCM(14025,14038) = 196882950

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Least Common Multiple of 14025 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 14025 and 14038, than apply into the LCM equation.

GCF(14025,14038) = 1
LCM(14025,14038) = ( 14025 × 14038) / 1
LCM(14025,14038) = 196882950 / 1
LCM(14025,14038) = 196882950

Least Common Multiple (LCM) of 14025 and 14038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14025 and 14038. First we will calculate the prime factors of 14025 and 14038.

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 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 14025 and 14038.

LCM(14025,14038) = 31 × 52 × 111 × 171 × 21 × 70191
LCM(14025,14038) = 196882950