What is the Least Common Multiple of 55224 and 55230?

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 55224 and 55230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55224 and 55230, than apply into the LCM equation.

GCF(55224,55230) = 6
LCM(55224,55230) = ( 55224 × 55230) / 6
LCM(55224,55230) = 3050021520 / 6
LCM(55224,55230) = 508336920

Least Common Multiple (LCM) of 55224 and 55230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55224 and 55230. First we will calculate the prime factors of 55224 and 55230.

Prime Factorization of 55224

Prime Factorization of 55230

Now multiplying the highest exponent prime factors to calculate the LCM of 55224 and 55230.

LCM(55224,55230) = 2³ × 3² × 13¹ × 59¹ × 5¹ × 7¹ × 263¹
LCM(55224,55230) = 508336920