What is the Least Common Multiple of 55856 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 of 55856 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 55856 and 55870, than apply into the LCM equation.

GCF(55856,55870) = 2
LCM(55856,55870) = ( 55856 × 55870) / 2
LCM(55856,55870) = 3120674720 / 2
LCM(55856,55870) = 1560337360

Least Common Multiple (LCM) of 55856 and 55870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55856 and 55870. First we will calculate the prime factors of 55856 and 55870.

Prime Factorization of 55856

Prime Factorization of 55870

Now multiplying the highest exponent prime factors to calculate the LCM of 55856 and 55870.

LCM(55856,55870) = 2⁴ × 3491¹ × 5¹ × 37¹ × 151¹
LCM(55856,55870) = 1560337360