What is the Least Common Multiple of 55854 and 55862?

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 55854 and 55862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55854 and 55862, than apply into the LCM equation.

GCF(55854,55862) = 2
LCM(55854,55862) = ( 55854 × 55862) / 2
LCM(55854,55862) = 3120116148 / 2
LCM(55854,55862) = 1560058074

Least Common Multiple (LCM) of 55854 and 55862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55854 and 55862. First we will calculate the prime factors of 55854 and 55862.

Prime Factorization of 55854

Prime Factorization of 55862

Now multiplying the highest exponent prime factors to calculate the LCM of 55854 and 55862.

LCM(55854,55862) = 2¹ × 3² × 29¹ × 107¹ × 17¹ × 31¹ × 53¹
LCM(55854,55862) = 1560058074