What is the Least Common Multiple of 72234 and 72243?

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 72234 and 72243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72234 and 72243, than apply into the LCM equation.

GCF(72234,72243) = 9
LCM(72234,72243) = ( 72234 × 72243) / 9
LCM(72234,72243) = 5218400862 / 9
LCM(72234,72243) = 579822318

Least Common Multiple (LCM) of 72234 and 72243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72234 and 72243. First we will calculate the prime factors of 72234 and 72243.

Prime Factorization of 72234

Prime Factorization of 72243

Now multiplying the highest exponent prime factors to calculate the LCM of 72234 and 72243.

LCM(72234,72243) = 2¹ × 3² × 4013¹ × 23¹ × 349¹
LCM(72234,72243) = 579822318