What is the Least Common Multiple of 30252 and 30267?

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 30252 and 30267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30252 and 30267, than apply into the LCM equation.

GCF(30252,30267) = 3
LCM(30252,30267) = ( 30252 × 30267) / 3
LCM(30252,30267) = 915637284 / 3
LCM(30252,30267) = 305212428

Least Common Multiple (LCM) of 30252 and 30267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30252 and 30267. First we will calculate the prime factors of 30252 and 30267.

Prime Factorization of 30252

Prime Factorization of 30267

Now multiplying the highest exponent prime factors to calculate the LCM of 30252 and 30267.

LCM(30252,30267) = 2² × 3³ × 2521¹ × 19¹ × 59¹
LCM(30252,30267) = 305212428