What is the Least Common Multiple of 30228 and 30232?

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 30228 and 30232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30228 and 30232, than apply into the LCM equation.

GCF(30228,30232) = 4
LCM(30228,30232) = ( 30228 × 30232) / 4
LCM(30228,30232) = 913852896 / 4
LCM(30228,30232) = 228463224

Least Common Multiple (LCM) of 30228 and 30232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30228 and 30232. First we will calculate the prime factors of 30228 and 30232.

Prime Factorization of 30228

Prime Factorization of 30232

Now multiplying the highest exponent prime factors to calculate the LCM of 30228 and 30232.

LCM(30228,30232) = 2³ × 3¹ × 11¹ × 229¹ × 3779¹
LCM(30228,30232) = 228463224