What is the Least Common Multiple of 55836 and 55841?

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 55836 and 55841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55836 and 55841, than apply into the LCM equation.

GCF(55836,55841) = 1
LCM(55836,55841) = ( 55836 × 55841) / 1
LCM(55836,55841) = 3117938076 / 1
LCM(55836,55841) = 3117938076

Least Common Multiple (LCM) of 55836 and 55841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55836 and 55841. First we will calculate the prime factors of 55836 and 55841.

Prime Factorization of 55836

Prime Factorization of 55841

Now multiplying the highest exponent prime factors to calculate the LCM of 55836 and 55841.

LCM(55836,55841) = 2² × 3³ × 11¹ × 47¹ × 19¹ × 2939¹
LCM(55836,55841) = 3117938076