What is the Least Common Multiple of 8829 and 8838?

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 8829 and 8838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8829 and 8838, than apply into the LCM equation.

GCF(8829,8838) = 9
LCM(8829,8838) = ( 8829 × 8838) / 9
LCM(8829,8838) = 78030702 / 9
LCM(8829,8838) = 8670078

Least Common Multiple (LCM) of 8829 and 8838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8829 and 8838. First we will calculate the prime factors of 8829 and 8838.

Prime Factorization of 8829

Prime Factorization of 8838

Now multiplying the highest exponent prime factors to calculate the LCM of 8829 and 8838.

LCM(8829,8838) = 3⁴ × 109¹ × 2¹ × 491¹
LCM(8829,8838) = 8670078