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What is the Least Common Multiple of 14042 and 14053?

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 14042 and 14053 is 197332226.

LCM(14042,14053) = 197332226

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Least Common Multiple of 14042 and 14053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14042 and 14053, than apply into the LCM equation.

GCF(14042,14053) = 1
LCM(14042,14053) = ( 14042 × 14053) / 1
LCM(14042,14053) = 197332226 / 1
LCM(14042,14053) = 197332226

Least Common Multiple (LCM) of 14042 and 14053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14042 and 14053. First we will calculate the prime factors of 14042 and 14053.

Prime Factorization of 14042

Prime factors of 14042 are 2, 7, 17, 59. Prime factorization of 14042 in exponential form is:

14042 = 21 × 71 × 171 × 591

Prime Factorization of 14053

Prime factors of 14053 are 13, 23, 47. Prime factorization of 14053 in exponential form is:

14053 = 131 × 231 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 14042 and 14053.

LCM(14042,14053) = 21 × 71 × 171 × 591 × 131 × 231 × 471
LCM(14042,14053) = 197332226