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What is the Least Common Multiple of 5854 and 5870?

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 5854 and 5870 is 17181490.

LCM(5854,5870) = 17181490

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Least Common Multiple of 5854 and 5870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5854 and 5870, than apply into the LCM equation.

GCF(5854,5870) = 2
LCM(5854,5870) = ( 5854 × 5870) / 2
LCM(5854,5870) = 34362980 / 2
LCM(5854,5870) = 17181490

Least Common Multiple (LCM) of 5854 and 5870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5854 and 5870. First we will calculate the prime factors of 5854 and 5870.

Prime Factorization of 5854

Prime factors of 5854 are 2, 2927. Prime factorization of 5854 in exponential form is:

5854 = 21 × 29271

Prime Factorization of 5870

Prime factors of 5870 are 2, 5, 587. Prime factorization of 5870 in exponential form is:

5870 = 21 × 51 × 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 5854 and 5870.

LCM(5854,5870) = 21 × 29271 × 51 × 5871
LCM(5854,5870) = 17181490