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What is the Least Common Multiple of 47858 and 47873?

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 47858 and 47873 is 2291106034.

LCM(47858,47873) = 2291106034

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Least Common Multiple of 47858 and 47873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47858 and 47873, than apply into the LCM equation.

GCF(47858,47873) = 1
LCM(47858,47873) = ( 47858 × 47873) / 1
LCM(47858,47873) = 2291106034 / 1
LCM(47858,47873) = 2291106034

Least Common Multiple (LCM) of 47858 and 47873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47858 and 47873. First we will calculate the prime factors of 47858 and 47873.

Prime Factorization of 47858

Prime factors of 47858 are 2, 23929. Prime factorization of 47858 in exponential form is:

47858 = 21 × 239291

Prime Factorization of 47873

Prime factors of 47873 are 7, 977. Prime factorization of 47873 in exponential form is:

47873 = 72 × 9771

Now multiplying the highest exponent prime factors to calculate the LCM of 47858 and 47873.

LCM(47858,47873) = 21 × 239291 × 72 × 9771
LCM(47858,47873) = 2291106034