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What is the Least Common Multiple of 54093 and 54106?

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 54093 and 54106 is 225135066.

LCM(54093,54106) = 225135066

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Least Common Multiple of 54093 and 54106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54093 and 54106, than apply into the LCM equation.

GCF(54093,54106) = 13
LCM(54093,54106) = ( 54093 × 54106) / 13
LCM(54093,54106) = 2926755858 / 13
LCM(54093,54106) = 225135066

Least Common Multiple (LCM) of 54093 and 54106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54093 and 54106. First we will calculate the prime factors of 54093 and 54106.

Prime Factorization of 54093

Prime factors of 54093 are 3, 13, 19, 73. Prime factorization of 54093 in exponential form is:

54093 = 31 × 131 × 191 × 731

Prime Factorization of 54106

Prime factors of 54106 are 2, 13, 2081. Prime factorization of 54106 in exponential form is:

54106 = 21 × 131 × 20811

Now multiplying the highest exponent prime factors to calculate the LCM of 54093 and 54106.

LCM(54093,54106) = 31 × 131 × 191 × 731 × 21 × 20811
LCM(54093,54106) = 225135066