What is the Least Common Multiple of 33224 and 33243?

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 33224 and 33243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33224 and 33243, than apply into the LCM equation.

GCF(33224,33243) = 1
LCM(33224,33243) = ( 33224 × 33243) / 1
LCM(33224,33243) = 1104465432 / 1
LCM(33224,33243) = 1104465432

Least Common Multiple (LCM) of 33224 and 33243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33224 and 33243. First we will calculate the prime factors of 33224 and 33243.

Prime Factorization of 33224

Prime Factorization of 33243

Now multiplying the highest exponent prime factors to calculate the LCM of 33224 and 33243.

LCM(33224,33243) = 2³ × 4153¹ × 3¹ × 7¹ × 1583¹
LCM(33224,33243) = 1104465432