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What is the Least Common Multiple of 54227 and 54237?

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 54227 and 54237 is 2941109799.

LCM(54227,54237) = 2941109799

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Least Common Multiple of 54227 and 54237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54227 and 54237, than apply into the LCM equation.

GCF(54227,54237) = 1
LCM(54227,54237) = ( 54227 × 54237) / 1
LCM(54227,54237) = 2941109799 / 1
LCM(54227,54237) = 2941109799

Least Common Multiple (LCM) of 54227 and 54237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54227 and 54237. First we will calculate the prime factors of 54227 and 54237.

Prime Factorization of 54227

Prime factors of 54227 are 211, 257. Prime factorization of 54227 in exponential form is:

54227 = 2111 × 2571

Prime Factorization of 54237

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

54237 = 31 × 1011 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 54227 and 54237.

LCM(54227,54237) = 2111 × 2571 × 31 × 1011 × 1791
LCM(54227,54237) = 2941109799