What is the Least Common Multiple of 55845 and 55854?

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 55845 and 55854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55845 and 55854, than apply into the LCM equation.

GCF(55845,55854) = 9
LCM(55845,55854) = ( 55845 × 55854) / 9
LCM(55845,55854) = 3119166630 / 9
LCM(55845,55854) = 346574070

Least Common Multiple (LCM) of 55845 and 55854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55845 and 55854. First we will calculate the prime factors of 55845 and 55854.

Prime Factorization of 55845

Prime Factorization of 55854

Now multiplying the highest exponent prime factors to calculate the LCM of 55845 and 55854.

LCM(55845,55854) = 3² × 5¹ × 17¹ × 73¹ × 2¹ × 29¹ × 107¹
LCM(55845,55854) = 346574070