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What is the Least Common Multiple of 49847 and 49853?

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 49847 and 49853 is 2485022491.

LCM(49847,49853) = 2485022491

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Least Common Multiple of 49847 and 49853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49847 and 49853, than apply into the LCM equation.

GCF(49847,49853) = 1
LCM(49847,49853) = ( 49847 × 49853) / 1
LCM(49847,49853) = 2485022491 / 1
LCM(49847,49853) = 2485022491

Least Common Multiple (LCM) of 49847 and 49853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49847 and 49853. First we will calculate the prime factors of 49847 and 49853.

Prime Factorization of 49847

Prime factors of 49847 are 7, 7121. Prime factorization of 49847 in exponential form is:

49847 = 71 × 71211

Prime Factorization of 49853

Prime factors of 49853 are 49853. Prime factorization of 49853 in exponential form is:

49853 = 498531

Now multiplying the highest exponent prime factors to calculate the LCM of 49847 and 49853.

LCM(49847,49853) = 71 × 71211 × 498531
LCM(49847,49853) = 2485022491