What is the Least Common Multiple of 55392 and 55408?

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 55392 and 55408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55392 and 55408, than apply into the LCM equation.

GCF(55392,55408) = 16
LCM(55392,55408) = ( 55392 × 55408) / 16
LCM(55392,55408) = 3069159936 / 16
LCM(55392,55408) = 191822496

Least Common Multiple (LCM) of 55392 and 55408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55392 and 55408. First we will calculate the prime factors of 55392 and 55408.

Prime Factorization of 55392

Prime Factorization of 55408

Now multiplying the highest exponent prime factors to calculate the LCM of 55392 and 55408.

LCM(55392,55408) = 2⁵ × 3¹ × 577¹ × 3463¹
LCM(55392,55408) = 191822496