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What is the Least Common Multiple of 54382 and 54393?

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 54382 and 54393 is 2958000126.

LCM(54382,54393) = 2958000126

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Least Common Multiple of 54382 and 54393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54382 and 54393, than apply into the LCM equation.

GCF(54382,54393) = 1
LCM(54382,54393) = ( 54382 × 54393) / 1
LCM(54382,54393) = 2958000126 / 1
LCM(54382,54393) = 2958000126

Least Common Multiple (LCM) of 54382 and 54393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54382 and 54393. First we will calculate the prime factors of 54382 and 54393.

Prime Factorization of 54382

Prime factors of 54382 are 2, 27191. Prime factorization of 54382 in exponential form is:

54382 = 21 × 271911

Prime Factorization of 54393

Prime factors of 54393 are 3, 18131. Prime factorization of 54393 in exponential form is:

54393 = 31 × 181311

Now multiplying the highest exponent prime factors to calculate the LCM of 54382 and 54393.

LCM(54382,54393) = 21 × 271911 × 31 × 181311
LCM(54382,54393) = 2958000126