What is the Least Common Multiple of 55842 and 55860?

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 55860 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 55860, than apply into the LCM equation.

GCF(55842,55860) = 6
LCM(55842,55860) = ( 55842 × 55860) / 6
LCM(55842,55860) = 3119334120 / 6
LCM(55842,55860) = 519889020

Least Common Multiple (LCM) of 55842 and 55860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55842 and 55860. First we will calculate the prime factors of 55842 and 55860.

Prime Factorization of 55842

Prime Factorization of 55860

Now multiplying the highest exponent prime factors to calculate the LCM of 55842 and 55860.

LCM(55842,55860) = 2² × 3¹ × 41¹ × 227¹ × 5¹ × 7² × 19¹
LCM(55842,55860) = 519889020