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What is the Least Common Multiple of 49838 and 49843?

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 49838 and 49843 is 2484075434.

LCM(49838,49843) = 2484075434

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Least Common Multiple of 49838 and 49843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49838 and 49843, than apply into the LCM equation.

GCF(49838,49843) = 1
LCM(49838,49843) = ( 49838 × 49843) / 1
LCM(49838,49843) = 2484075434 / 1
LCM(49838,49843) = 2484075434

Least Common Multiple (LCM) of 49838 and 49843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49838 and 49843. First we will calculate the prime factors of 49838 and 49843.

Prime Factorization of 49838

Prime factors of 49838 are 2, 24919. Prime factorization of 49838 in exponential form is:

49838 = 21 × 249191

Prime Factorization of 49843

Prime factors of 49843 are 49843. Prime factorization of 49843 in exponential form is:

49843 = 498431

Now multiplying the highest exponent prime factors to calculate the LCM of 49838 and 49843.

LCM(49838,49843) = 21 × 249191 × 498431
LCM(49838,49843) = 2484075434