What is the Least Common Multiple of 55809 and 55827?

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 55809 and 55827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55809 and 55827, than apply into the LCM equation.

GCF(55809,55827) = 9
LCM(55809,55827) = ( 55809 × 55827) / 9
LCM(55809,55827) = 3115649043 / 9
LCM(55809,55827) = 346183227

Least Common Multiple (LCM) of 55809 and 55827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55809 and 55827. First we will calculate the prime factors of 55809 and 55827.

Prime Factorization of 55809

Prime Factorization of 55827

Now multiplying the highest exponent prime factors to calculate the LCM of 55809 and 55827.

LCM(55809,55827) = 3⁴ × 13¹ × 53¹ × 6203¹
LCM(55809,55827) = 346183227