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What is the Least Common Multiple of 54238 and 54245?

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 54238 and 54245 is 2942140310.

LCM(54238,54245) = 2942140310

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Least Common Multiple of 54238 and 54245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54238 and 54245, than apply into the LCM equation.

GCF(54238,54245) = 1
LCM(54238,54245) = ( 54238 × 54245) / 1
LCM(54238,54245) = 2942140310 / 1
LCM(54238,54245) = 2942140310

Least Common Multiple (LCM) of 54238 and 54245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54238 and 54245. First we will calculate the prime factors of 54238 and 54245.

Prime Factorization of 54238

Prime factors of 54238 are 2, 47, 577. Prime factorization of 54238 in exponential form is:

54238 = 21 × 471 × 5771

Prime Factorization of 54245

Prime factors of 54245 are 5, 19, 571. Prime factorization of 54245 in exponential form is:

54245 = 51 × 191 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 54238 and 54245.

LCM(54238,54245) = 21 × 471 × 5771 × 51 × 191 × 5711
LCM(54238,54245) = 2942140310