What is the Least Common Multiple of 33822 and 33841?

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 33822 and 33841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33822 and 33841, than apply into the LCM equation.

GCF(33822,33841) = 1
LCM(33822,33841) = ( 33822 × 33841) / 1
LCM(33822,33841) = 1144570302 / 1
LCM(33822,33841) = 1144570302

Least Common Multiple (LCM) of 33822 and 33841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33822 and 33841. First we will calculate the prime factors of 33822 and 33841.

Prime Factorization of 33822

Prime Factorization of 33841

Now multiplying the highest exponent prime factors to calculate the LCM of 33822 and 33841.

LCM(33822,33841) = 2¹ × 3² × 1879¹ × 43¹ × 787¹
LCM(33822,33841) = 1144570302