What is the Least Common Multiple of 55225 and 55238?

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 55225 and 55238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55225 and 55238, than apply into the LCM equation.

GCF(55225,55238) = 1
LCM(55225,55238) = ( 55225 × 55238) / 1
LCM(55225,55238) = 3050518550 / 1
LCM(55225,55238) = 3050518550

Least Common Multiple (LCM) of 55225 and 55238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55225 and 55238. First we will calculate the prime factors of 55225 and 55238.

Prime Factorization of 55225

Prime Factorization of 55238

Now multiplying the highest exponent prime factors to calculate the LCM of 55225 and 55238.

LCM(55225,55238) = 5² × 47² × 2¹ × 71¹ × 389¹
LCM(55225,55238) = 3050518550