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What is the Least Common Multiple of 54237 and 54256?

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 54256 is 2942682672.

LCM(54237,54256) = 2942682672

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Least Common Multiple of 54237 and 54256 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 54256, than apply into the LCM equation.

GCF(54237,54256) = 1
LCM(54237,54256) = ( 54237 × 54256) / 1
LCM(54237,54256) = 2942682672 / 1
LCM(54237,54256) = 2942682672

Least Common Multiple (LCM) of 54237 and 54256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54237 and 54256. First we will calculate the prime factors of 54237 and 54256.

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 54256

Prime factors of 54256 are 2, 3391. Prime factorization of 54256 in exponential form is:

54256 = 24 × 33911

Now multiplying the highest exponent prime factors to calculate the LCM of 54237 and 54256.

LCM(54237,54256) = 31 × 1011 × 1791 × 24 × 33911
LCM(54237,54256) = 2942682672