What is the Least Common Multiple of 93822 and 93841?

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 93822 and 93841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93822 and 93841, than apply into the LCM equation.

GCF(93822,93841) = 19
LCM(93822,93841) = ( 93822 × 93841) / 19
LCM(93822,93841) = 8804350302 / 19
LCM(93822,93841) = 463386858

Least Common Multiple (LCM) of 93822 and 93841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93822 and 93841. First we will calculate the prime factors of 93822 and 93841.

Prime Factorization of 93822

Prime Factorization of 93841

Now multiplying the highest exponent prime factors to calculate the LCM of 93822 and 93841.

LCM(93822,93841) = 2¹ × 3¹ × 19¹ × 823¹ × 11¹ × 449¹
LCM(93822,93841) = 463386858