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What is the Least Common Multiple of 54129 and 54143?

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 54129 and 54143 is 2930706447.

LCM(54129,54143) = 2930706447

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Least Common Multiple of 54129 and 54143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54129 and 54143, than apply into the LCM equation.

GCF(54129,54143) = 1
LCM(54129,54143) = ( 54129 × 54143) / 1
LCM(54129,54143) = 2930706447 / 1
LCM(54129,54143) = 2930706447

Least Common Multiple (LCM) of 54129 and 54143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54129 and 54143. First we will calculate the prime factors of 54129 and 54143.

Prime Factorization of 54129

Prime factors of 54129 are 3, 18043. Prime factorization of 54129 in exponential form is:

54129 = 31 × 180431

Prime Factorization of 54143

Prime factors of 54143 are 29, 1867. Prime factorization of 54143 in exponential form is:

54143 = 291 × 18671

Now multiplying the highest exponent prime factors to calculate the LCM of 54129 and 54143.

LCM(54129,54143) = 31 × 180431 × 291 × 18671
LCM(54129,54143) = 2930706447