What is the Least Common Multiple of 55805 and 55811?

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 55805 and 55811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55805 and 55811, than apply into the LCM equation.

GCF(55805,55811) = 1
LCM(55805,55811) = ( 55805 × 55811) / 1
LCM(55805,55811) = 3114532855 / 1
LCM(55805,55811) = 3114532855

Least Common Multiple (LCM) of 55805 and 55811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55805 and 55811. First we will calculate the prime factors of 55805 and 55811.

Prime Factorization of 55805

Prime Factorization of 55811

Now multiplying the highest exponent prime factors to calculate the LCM of 55805 and 55811.

LCM(55805,55811) = 5¹ × 11161¹ × 7² × 17¹ × 67¹
LCM(55805,55811) = 3114532855