What is the Least Common Multiple of 55204 and 55223?

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 55204 and 55223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55204 and 55223, than apply into the LCM equation.

GCF(55204,55223) = 1
LCM(55204,55223) = ( 55204 × 55223) / 1
LCM(55204,55223) = 3048530492 / 1
LCM(55204,55223) = 3048530492

Least Common Multiple (LCM) of 55204 and 55223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55204 and 55223. First we will calculate the prime factors of 55204 and 55223.

Prime Factorization of 55204

Prime Factorization of 55223

Now multiplying the highest exponent prime factors to calculate the LCM of 55204 and 55223.

LCM(55204,55223) = 2² × 37¹ × 373¹ × 7⁴ × 23¹
LCM(55204,55223) = 3048530492