What is the Least Common Multiple of 55380 and 55392?

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 55380 and 55392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55380 and 55392, than apply into the LCM equation.

GCF(55380,55392) = 12
LCM(55380,55392) = ( 55380 × 55392) / 12
LCM(55380,55392) = 3067608960 / 12
LCM(55380,55392) = 255634080

Least Common Multiple (LCM) of 55380 and 55392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55380 and 55392. First we will calculate the prime factors of 55380 and 55392.

Prime Factorization of 55380

Prime Factorization of 55392

Now multiplying the highest exponent prime factors to calculate the LCM of 55380 and 55392.

LCM(55380,55392) = 2⁵ × 3¹ × 5¹ × 13¹ × 71¹ × 577¹
LCM(55380,55392) = 255634080