What is the Least Common Multiple of 55230 and 55248?

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 55230 and 55248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55230 and 55248, than apply into the LCM equation.

GCF(55230,55248) = 6
LCM(55230,55248) = ( 55230 × 55248) / 6
LCM(55230,55248) = 3051347040 / 6
LCM(55230,55248) = 508557840

Least Common Multiple (LCM) of 55230 and 55248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55230 and 55248. First we will calculate the prime factors of 55230 and 55248.

Prime Factorization of 55230

Prime Factorization of 55248

Now multiplying the highest exponent prime factors to calculate the LCM of 55230 and 55248.

LCM(55230,55248) = 2⁴ × 3¹ × 5¹ × 7¹ × 263¹ × 1151¹
LCM(55230,55248) = 508557840