What is the Least Common Multiple of 55248 and 55266?

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 55266 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 55266, than apply into the LCM equation.

GCF(55248,55266) = 6
LCM(55248,55266) = ( 55248 × 55266) / 6
LCM(55248,55266) = 3053335968 / 6
LCM(55248,55266) = 508889328

Least Common Multiple (LCM) of 55248 and 55266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55248 and 55266. First we will calculate the prime factors of 55248 and 55266.

Prime Factorization of 55248

Prime Factorization of 55266

Now multiplying the highest exponent prime factors to calculate the LCM of 55248 and 55266.

LCM(55248,55266) = 2⁴ × 3¹ × 1151¹ × 61¹ × 151¹
LCM(55248,55266) = 508889328