What is the Least Common Multiple of 55248 and 55254?

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 55254 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 55254, than apply into the LCM equation.

GCF(55248,55254) = 6
LCM(55248,55254) = ( 55248 × 55254) / 6
LCM(55248,55254) = 3052672992 / 6
LCM(55248,55254) = 508778832

Least Common Multiple (LCM) of 55248 and 55254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55248 and 55254. First we will calculate the prime factors of 55248 and 55254.

Prime Factorization of 55248

Prime Factorization of 55254

Now multiplying the highest exponent prime factors to calculate the LCM of 55248 and 55254.

LCM(55248,55254) = 2⁴ × 3¹ × 1151¹ × 9209¹
LCM(55248,55254) = 508778832