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What is the Least Common Multiple of 54231 and 54249?

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 54231 and 54249 is 980659173.

LCM(54231,54249) = 980659173

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Least Common Multiple of 54231 and 54249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54231 and 54249, than apply into the LCM equation.

GCF(54231,54249) = 3
LCM(54231,54249) = ( 54231 × 54249) / 3
LCM(54231,54249) = 2941977519 / 3
LCM(54231,54249) = 980659173

Least Common Multiple (LCM) of 54231 and 54249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54231 and 54249. First we will calculate the prime factors of 54231 and 54249.

Prime Factorization of 54231

Prime factors of 54231 are 3, 18077. Prime factorization of 54231 in exponential form is:

54231 = 31 × 180771

Prime Factorization of 54249

Prime factors of 54249 are 3, 13, 107. Prime factorization of 54249 in exponential form is:

54249 = 31 × 132 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 54231 and 54249.

LCM(54231,54249) = 31 × 180771 × 132 × 1071
LCM(54231,54249) = 980659173