What is the Least Common Multiple of 55260 and 55275?

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 55260 and 55275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55260 and 55275, than apply into the LCM equation.

GCF(55260,55275) = 15
LCM(55260,55275) = ( 55260 × 55275) / 15
LCM(55260,55275) = 3054496500 / 15
LCM(55260,55275) = 203633100

Least Common Multiple (LCM) of 55260 and 55275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55260 and 55275. First we will calculate the prime factors of 55260 and 55275.

Prime Factorization of 55260

Prime Factorization of 55275

Now multiplying the highest exponent prime factors to calculate the LCM of 55260 and 55275.

LCM(55260,55275) = 2² × 3² × 5² × 307¹ × 11¹ × 67¹
LCM(55260,55275) = 203633100