What is the Least Common Multiple of 19822 and 19841?

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 19822 and 19841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19822 and 19841, than apply into the LCM equation.

GCF(19822,19841) = 1
LCM(19822,19841) = ( 19822 × 19841) / 1
LCM(19822,19841) = 393288302 / 1
LCM(19822,19841) = 393288302

Least Common Multiple (LCM) of 19822 and 19841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19822 and 19841. First we will calculate the prime factors of 19822 and 19841.

Prime Factorization of 19822

Prime Factorization of 19841

Now multiplying the highest exponent prime factors to calculate the LCM of 19822 and 19841.

LCM(19822,19841) = 2¹ × 11¹ × 17¹ × 53¹ × 19841¹
LCM(19822,19841) = 393288302