What is the Least Common Multiple of 36822 and 36838?

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 36822 and 36838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36822 and 36838, than apply into the LCM equation.

GCF(36822,36838) = 2
LCM(36822,36838) = ( 36822 × 36838) / 2
LCM(36822,36838) = 1356448836 / 2
LCM(36822,36838) = 678224418

Least Common Multiple (LCM) of 36822 and 36838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36822 and 36838. First we will calculate the prime factors of 36822 and 36838.

Prime Factorization of 36822

Prime Factorization of 36838

Now multiplying the highest exponent prime factors to calculate the LCM of 36822 and 36838.

LCM(36822,36838) = 2¹ × 3¹ × 17¹ × 19² × 113¹ × 163¹
LCM(36822,36838) = 678224418