What is the Least Common Multiple of 52822 and 52838?

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 52822 and 52838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52822 and 52838, than apply into the LCM equation.

GCF(52822,52838) = 2
LCM(52822,52838) = ( 52822 × 52838) / 2
LCM(52822,52838) = 2791008836 / 2
LCM(52822,52838) = 1395504418

Least Common Multiple (LCM) of 52822 and 52838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52822 and 52838. First we will calculate the prime factors of 52822 and 52838.

Prime Factorization of 52822

Prime Factorization of 52838

Now multiplying the highest exponent prime factors to calculate the LCM of 52822 and 52838.

LCM(52822,52838) = 2¹ × 7⁴ × 11¹ × 29¹ × 911¹
LCM(52822,52838) = 1395504418