What is the Least Common Multiple of 55209 and 55225?

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 55209 and 55225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55209 and 55225, than apply into the LCM equation.

GCF(55209,55225) = 1
LCM(55209,55225) = ( 55209 × 55225) / 1
LCM(55209,55225) = 3048917025 / 1
LCM(55209,55225) = 3048917025

Least Common Multiple (LCM) of 55209 and 55225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55209 and 55225. First we will calculate the prime factors of 55209 and 55225.

Prime Factorization of 55209

Prime Factorization of 55225

Now multiplying the highest exponent prime factors to calculate the LCM of 55209 and 55225.

LCM(55209,55225) = 3¹ × 7¹ × 11¹ × 239¹ × 5² × 47²
LCM(55209,55225) = 3048917025