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What is the Least Common Multiple of 49849 and 49862?

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 49849 and 49862 is 2485570838.

LCM(49849,49862) = 2485570838

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Least Common Multiple of 49849 and 49862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49849 and 49862, than apply into the LCM equation.

GCF(49849,49862) = 1
LCM(49849,49862) = ( 49849 × 49862) / 1
LCM(49849,49862) = 2485570838 / 1
LCM(49849,49862) = 2485570838

Least Common Multiple (LCM) of 49849 and 49862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49849 and 49862. First we will calculate the prime factors of 49849 and 49862.

Prime Factorization of 49849

Prime factors of 49849 are 79, 631. Prime factorization of 49849 in exponential form is:

49849 = 791 × 6311

Prime Factorization of 49862

Prime factors of 49862 are 2, 107, 233. Prime factorization of 49862 in exponential form is:

49862 = 21 × 1071 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 49849 and 49862.

LCM(49849,49862) = 791 × 6311 × 21 × 1071 × 2331
LCM(49849,49862) = 2485570838