What is the Least Common Multiple of 55842 and 55856?

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 55842 and 55856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55842 and 55856, than apply into the LCM equation.

GCF(55842,55856) = 2
LCM(55842,55856) = ( 55842 × 55856) / 2
LCM(55842,55856) = 3119110752 / 2
LCM(55842,55856) = 1559555376

Least Common Multiple (LCM) of 55842 and 55856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55842 and 55856. First we will calculate the prime factors of 55842 and 55856.

Prime Factorization of 55842

Prime Factorization of 55856

Now multiplying the highest exponent prime factors to calculate the LCM of 55842 and 55856.

LCM(55842,55856) = 2⁴ × 3¹ × 41¹ × 227¹ × 3491¹
LCM(55842,55856) = 1559555376