What is the Least Common Multiple of 55569 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 55569 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 55569 and 55575, than apply into the LCM equation.

GCF(55569,55575) = 3
LCM(55569,55575) = ( 55569 × 55575) / 3
LCM(55569,55575) = 3088247175 / 3
LCM(55569,55575) = 1029415725

Least Common Multiple (LCM) of 55569 and 55575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55569 and 55575. First we will calculate the prime factors of 55569 and 55575.

Prime Factorization of 55569

Prime Factorization of 55575

Now multiplying the highest exponent prime factors to calculate the LCM of 55569 and 55575.

LCM(55569,55575) = 3² × 18523¹ × 5² × 13¹ × 19¹
LCM(55569,55575) = 1029415725