What is the Least Common Multiple of 55839 and 55853?

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 55839 and 55853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55839 and 55853, than apply into the LCM equation.

GCF(55839,55853) = 7
LCM(55839,55853) = ( 55839 × 55853) / 7
LCM(55839,55853) = 3118775667 / 7
LCM(55839,55853) = 445539381

Least Common Multiple (LCM) of 55839 and 55853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55839 and 55853. First we will calculate the prime factors of 55839 and 55853.

Prime Factorization of 55839

Prime Factorization of 55853

Now multiplying the highest exponent prime factors to calculate the LCM of 55839 and 55853.

LCM(55839,55853) = 3¹ × 7¹ × 2659¹ × 79¹ × 101¹
LCM(55839,55853) = 445539381