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What is the Least Common Multiple of 4134 and 4143?

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 4134 and 4143 is 5709054.

LCM(4134,4143) = 5709054

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Least Common Multiple of 4134 and 4143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4134 and 4143, than apply into the LCM equation.

GCF(4134,4143) = 3
LCM(4134,4143) = ( 4134 × 4143) / 3
LCM(4134,4143) = 17127162 / 3
LCM(4134,4143) = 5709054

Least Common Multiple (LCM) of 4134 and 4143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4134 and 4143. First we will calculate the prime factors of 4134 and 4143.

Prime Factorization of 4134

Prime factors of 4134 are 2, 3, 13, 53. Prime factorization of 4134 in exponential form is:

4134 = 21 × 31 × 131 × 531

Prime Factorization of 4143

Prime factors of 4143 are 3, 1381. Prime factorization of 4143 in exponential form is:

4143 = 31 × 13811

Now multiplying the highest exponent prime factors to calculate the LCM of 4134 and 4143.

LCM(4134,4143) = 21 × 31 × 131 × 531 × 13811
LCM(4134,4143) = 5709054