What is the Least Common Multiple of 55245 and 55260?

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 55245 and 55260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55245 and 55260, than apply into the LCM equation.

GCF(55245,55260) = 15
LCM(55245,55260) = ( 55245 × 55260) / 15
LCM(55245,55260) = 3052838700 / 15
LCM(55245,55260) = 203522580

Least Common Multiple (LCM) of 55245 and 55260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55245 and 55260. First we will calculate the prime factors of 55245 and 55260.

Prime Factorization of 55245

Prime Factorization of 55260

Now multiplying the highest exponent prime factors to calculate the LCM of 55245 and 55260.

LCM(55245,55260) = 3² × 5¹ × 29¹ × 127¹ × 2² × 307¹
LCM(55245,55260) = 203522580