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What is the Least Common Multiple of 47858 and 47870?

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 47870 is 1145481230.

LCM(47858,47870) = 1145481230

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Least Common Multiple of 47858 and 47870 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 47870, than apply into the LCM equation.

GCF(47858,47870) = 2
LCM(47858,47870) = ( 47858 × 47870) / 2
LCM(47858,47870) = 2290962460 / 2
LCM(47858,47870) = 1145481230

Least Common Multiple (LCM) of 47858 and 47870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47858 and 47870. First we will calculate the prime factors of 47858 and 47870.

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 47870

Prime factors of 47870 are 2, 5, 4787. Prime factorization of 47870 in exponential form is:

47870 = 21 × 51 × 47871

Now multiplying the highest exponent prime factors to calculate the LCM of 47858 and 47870.

LCM(47858,47870) = 21 × 239291 × 51 × 47871
LCM(47858,47870) = 1145481230