What is the Least Common Multiple of 55809 and 55818?

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 55818 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 55818, than apply into the LCM equation.

GCF(55809,55818) = 9
LCM(55809,55818) = ( 55809 × 55818) / 9
LCM(55809,55818) = 3115146762 / 9
LCM(55809,55818) = 346127418

Least Common Multiple (LCM) of 55809 and 55818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55809 and 55818. First we will calculate the prime factors of 55809 and 55818.

Prime Factorization of 55809

Prime Factorization of 55818

Now multiplying the highest exponent prime factors to calculate the LCM of 55809 and 55818.

LCM(55809,55818) = 3⁴ × 13¹ × 53¹ × 2¹ × 7¹ × 443¹
LCM(55809,55818) = 346127418