What is the Least Common Multiple of 32823 and 32838?

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 32823 and 32838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32823 and 32838, than apply into the LCM equation.

GCF(32823,32838) = 3
LCM(32823,32838) = ( 32823 × 32838) / 3
LCM(32823,32838) = 1077841674 / 3
LCM(32823,32838) = 359280558

Least Common Multiple (LCM) of 32823 and 32838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32823 and 32838. First we will calculate the prime factors of 32823 and 32838.

Prime Factorization of 32823

Prime Factorization of 32838

Now multiplying the highest exponent prime factors to calculate the LCM of 32823 and 32838.

LCM(32823,32838) = 3² × 7¹ × 521¹ × 2¹ × 13¹ × 421¹
LCM(32823,32838) = 359280558