What is the Least Common Multiple of 55440 and 55459?

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 55459 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 55459, than apply into the LCM equation.

GCF(55440,55459) = 1
LCM(55440,55459) = ( 55440 × 55459) / 1
LCM(55440,55459) = 3074646960 / 1
LCM(55440,55459) = 3074646960

Least Common Multiple (LCM) of 55440 and 55459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55440 and 55459. First we will calculate the prime factors of 55440 and 55459.

Prime Factorization of 55440

Prime Factorization of 55459

Now multiplying the highest exponent prime factors to calculate the LCM of 55440 and 55459.

LCM(55440,55459) = 2⁴ × 3² × 5¹ × 7¹ × 11¹ × 31¹ × 1789¹
LCM(55440,55459) = 3074646960