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What is the Least Common Multiple of 49789 and 49799?

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 49789 and 49799 is 2479442411.

LCM(49789,49799) = 2479442411

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Least Common Multiple of 49789 and 49799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49789 and 49799, than apply into the LCM equation.

GCF(49789,49799) = 1
LCM(49789,49799) = ( 49789 × 49799) / 1
LCM(49789,49799) = 2479442411 / 1
LCM(49789,49799) = 2479442411

Least Common Multiple (LCM) of 49789 and 49799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49789 and 49799. First we will calculate the prime factors of 49789 and 49799.

Prime Factorization of 49789

Prime factors of 49789 are 49789. Prime factorization of 49789 in exponential form is:

49789 = 497891

Prime Factorization of 49799

Prime factors of 49799 are 19, 2621. Prime factorization of 49799 in exponential form is:

49799 = 191 × 26211

Now multiplying the highest exponent prime factors to calculate the LCM of 49789 and 49799.

LCM(49789,49799) = 497891 × 191 × 26211
LCM(49789,49799) = 2479442411