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What is the Least Common Multiple of 55855 and 55870?

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 55855 and 55870 is 624123770.

LCM(55855,55870) = 624123770

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Least Common Multiple of 55855 and 55870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55855 and 55870, than apply into the LCM equation.

GCF(55855,55870) = 5
LCM(55855,55870) = ( 55855 × 55870) / 5
LCM(55855,55870) = 3120618850 / 5
LCM(55855,55870) = 624123770

Least Common Multiple (LCM) of 55855 and 55870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55855 and 55870. First we will calculate the prime factors of 55855 and 55870.

Prime Factorization of 55855

Prime factors of 55855 are 5, 11171. Prime factorization of 55855 in exponential form is:

55855 = 51 × 111711

Prime Factorization of 55870

Prime factors of 55870 are 2, 5, 37, 151. Prime factorization of 55870 in exponential form is:

55870 = 21 × 51 × 371 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 55855 and 55870.

LCM(55855,55870) = 51 × 111711 × 21 × 371 × 1511
LCM(55855,55870) = 624123770