What is the Least Common Multiple of 30234 and 30252?

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 30234 and 30252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30234 and 30252, than apply into the LCM equation.

GCF(30234,30252) = 6
LCM(30234,30252) = ( 30234 × 30252) / 6
LCM(30234,30252) = 914638968 / 6
LCM(30234,30252) = 152439828

Least Common Multiple (LCM) of 30234 and 30252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30234 and 30252. First we will calculate the prime factors of 30234 and 30252.

Prime Factorization of 30234

Prime Factorization of 30252

Now multiplying the highest exponent prime factors to calculate the LCM of 30234 and 30252.

LCM(30234,30252) = 2² × 3¹ × 5039¹ × 2521¹
LCM(30234,30252) = 152439828