What is the Least Common Multiple of 55248 and 55256?

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 55248 and 55256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55248 and 55256, than apply into the LCM equation.

GCF(55248,55256) = 8
LCM(55248,55256) = ( 55248 × 55256) / 8
LCM(55248,55256) = 3052783488 / 8
LCM(55248,55256) = 381597936

Least Common Multiple (LCM) of 55248 and 55256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55248 and 55256. First we will calculate the prime factors of 55248 and 55256.

Prime Factorization of 55248

Prime Factorization of 55256

Now multiplying the highest exponent prime factors to calculate the LCM of 55248 and 55256.

LCM(55248,55256) = 2⁴ × 3¹ × 1151¹ × 6907¹
LCM(55248,55256) = 381597936