What is the Least Common Multiple of 79822 and 79831?

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 79822 and 79831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79822 and 79831, than apply into the LCM equation.

GCF(79822,79831) = 1
LCM(79822,79831) = ( 79822 × 79831) / 1
LCM(79822,79831) = 6372270082 / 1
LCM(79822,79831) = 6372270082

Least Common Multiple (LCM) of 79822 and 79831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79822 and 79831. First we will calculate the prime factors of 79822 and 79831.

Prime Factorization of 79822

Prime Factorization of 79831

Now multiplying the highest exponent prime factors to calculate the LCM of 79822 and 79831.

LCM(79822,79831) = 2¹ × 107¹ × 373¹ × 97¹ × 823¹
LCM(79822,79831) = 6372270082