What is the Least Common Multiple of 30054 and 30069?

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 30054 and 30069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30054 and 30069, than apply into the LCM equation.

GCF(30054,30069) = 3
LCM(30054,30069) = ( 30054 × 30069) / 3
LCM(30054,30069) = 903693726 / 3
LCM(30054,30069) = 301231242

Least Common Multiple (LCM) of 30054 and 30069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30054 and 30069. First we will calculate the prime factors of 30054 and 30069.

Prime Factorization of 30054

Prime Factorization of 30069

Now multiplying the highest exponent prime factors to calculate the LCM of 30054 and 30069.

LCM(30054,30069) = 2¹ × 3² × 5009¹ × 13¹ × 257¹
LCM(30054,30069) = 301231242