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What is the Least Common Multiple of 49862 and 49869?

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 49862 and 49869 is 2486568078.

LCM(49862,49869) = 2486568078

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Least Common Multiple of 49862 and 49869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49862 and 49869, than apply into the LCM equation.

GCF(49862,49869) = 1
LCM(49862,49869) = ( 49862 × 49869) / 1
LCM(49862,49869) = 2486568078 / 1
LCM(49862,49869) = 2486568078

Least Common Multiple (LCM) of 49862 and 49869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49862 and 49869. First we will calculate the prime factors of 49862 and 49869.

Prime Factorization of 49862

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

49862 = 21 × 1071 × 2331

Prime Factorization of 49869

Prime factors of 49869 are 3, 1847. Prime factorization of 49869 in exponential form is:

49869 = 33 × 18471

Now multiplying the highest exponent prime factors to calculate the LCM of 49862 and 49869.

LCM(49862,49869) = 21 × 1071 × 2331 × 33 × 18471
LCM(49862,49869) = 2486568078