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What is the Least Common Multiple of 49836 and 49845?

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 49836 and 49845 is 828025140.

LCM(49836,49845) = 828025140

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Least Common Multiple of 49836 and 49845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49836 and 49845, than apply into the LCM equation.

GCF(49836,49845) = 3
LCM(49836,49845) = ( 49836 × 49845) / 3
LCM(49836,49845) = 2484075420 / 3
LCM(49836,49845) = 828025140

Least Common Multiple (LCM) of 49836 and 49845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49836 and 49845. First we will calculate the prime factors of 49836 and 49845.

Prime Factorization of 49836

Prime factors of 49836 are 2, 3, 4153. Prime factorization of 49836 in exponential form is:

49836 = 22 × 31 × 41531

Prime Factorization of 49845

Prime factors of 49845 are 3, 5, 3323. Prime factorization of 49845 in exponential form is:

49845 = 31 × 51 × 33231

Now multiplying the highest exponent prime factors to calculate the LCM of 49836 and 49845.

LCM(49836,49845) = 22 × 31 × 41531 × 51 × 33231
LCM(49836,49845) = 828025140