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What is the Least Common Multiple of 54843 and 54854?

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 54843 and 54854 is 3008357922.

LCM(54843,54854) = 3008357922

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Least Common Multiple of 54843 and 54854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54843 and 54854, than apply into the LCM equation.

GCF(54843,54854) = 1
LCM(54843,54854) = ( 54843 × 54854) / 1
LCM(54843,54854) = 3008357922 / 1
LCM(54843,54854) = 3008357922

Least Common Multiple (LCM) of 54843 and 54854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54843 and 54854. First we will calculate the prime factors of 54843 and 54854.

Prime Factorization of 54843

Prime factors of 54843 are 3, 101, 181. Prime factorization of 54843 in exponential form is:

54843 = 31 × 1011 × 1811

Prime Factorization of 54854

Prime factors of 54854 are 2, 27427. Prime factorization of 54854 in exponential form is:

54854 = 21 × 274271

Now multiplying the highest exponent prime factors to calculate the LCM of 54843 and 54854.

LCM(54843,54854) = 31 × 1011 × 1811 × 21 × 274271
LCM(54843,54854) = 3008357922