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What is the Least Common Multiple of 54237 and 54251?

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 54237 and 54251 is 2942411487.

LCM(54237,54251) = 2942411487

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Least Common Multiple of 54237 and 54251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54237 and 54251, than apply into the LCM equation.

GCF(54237,54251) = 1
LCM(54237,54251) = ( 54237 × 54251) / 1
LCM(54237,54251) = 2942411487 / 1
LCM(54237,54251) = 2942411487

Least Common Multiple (LCM) of 54237 and 54251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54237 and 54251. First we will calculate the prime factors of 54237 and 54251.

Prime Factorization of 54237

Prime factors of 54237 are 3, 101, 179. Prime factorization of 54237 in exponential form is:

54237 = 31 × 1011 × 1791

Prime Factorization of 54251

Prime factors of 54251 are 54251. Prime factorization of 54251 in exponential form is:

54251 = 542511

Now multiplying the highest exponent prime factors to calculate the LCM of 54237 and 54251.

LCM(54237,54251) = 31 × 1011 × 1791 × 542511
LCM(54237,54251) = 2942411487