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What is the Least Common Multiple of 54173 and 54187?

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 54173 and 54187 is 419353193.

LCM(54173,54187) = 419353193

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Least Common Multiple of 54173 and 54187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54173 and 54187, than apply into the LCM equation.

GCF(54173,54187) = 7
LCM(54173,54187) = ( 54173 × 54187) / 7
LCM(54173,54187) = 2935472351 / 7
LCM(54173,54187) = 419353193

Least Common Multiple (LCM) of 54173 and 54187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54173 and 54187. First we will calculate the prime factors of 54173 and 54187.

Prime Factorization of 54173

Prime factors of 54173 are 7, 71, 109. Prime factorization of 54173 in exponential form is:

54173 = 71 × 711 × 1091

Prime Factorization of 54187

Prime factors of 54187 are 7, 7741. Prime factorization of 54187 in exponential form is:

54187 = 71 × 77411

Now multiplying the highest exponent prime factors to calculate the LCM of 54173 and 54187.

LCM(54173,54187) = 71 × 711 × 1091 × 77411
LCM(54173,54187) = 419353193