What is the Least Common Multiple of 55556 and 55575?

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 55556 and 55575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55556 and 55575, than apply into the LCM equation.

GCF(55556,55575) = 19
LCM(55556,55575) = ( 55556 × 55575) / 19
LCM(55556,55575) = 3087524700 / 19
LCM(55556,55575) = 162501300

Least Common Multiple (LCM) of 55556 and 55575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55556 and 55575. First we will calculate the prime factors of 55556 and 55575.

Prime Factorization of 55556

Prime Factorization of 55575

Now multiplying the highest exponent prime factors to calculate the LCM of 55556 and 55575.

LCM(55556,55575) = 2² × 17¹ × 19¹ × 43¹ × 3² × 5² × 13¹
LCM(55556,55575) = 162501300