What is the Least Common Multiple of 55440 and 55452?

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 55440 and 55452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55440 and 55452, than apply into the LCM equation.

GCF(55440,55452) = 12
LCM(55440,55452) = ( 55440 × 55452) / 12
LCM(55440,55452) = 3074258880 / 12
LCM(55440,55452) = 256188240

Least Common Multiple (LCM) of 55440 and 55452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55440 and 55452. First we will calculate the prime factors of 55440 and 55452.

Prime Factorization of 55440

Prime Factorization of 55452

Now multiplying the highest exponent prime factors to calculate the LCM of 55440 and 55452.

LCM(55440,55452) = 2⁴ × 3² × 5¹ × 7¹ × 11¹ × 4621¹
LCM(55440,55452) = 256188240