What is the Least Common Multiple of 34829 and 34838?

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 34829 and 34838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34829 and 34838, than apply into the LCM equation.

GCF(34829,34838) = 1
LCM(34829,34838) = ( 34829 × 34838) / 1
LCM(34829,34838) = 1213372702 / 1
LCM(34829,34838) = 1213372702

Least Common Multiple (LCM) of 34829 and 34838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34829 and 34838. First we will calculate the prime factors of 34829 and 34838.

Prime Factorization of 34829

Prime Factorization of 34838

Now multiplying the highest exponent prime factors to calculate the LCM of 34829 and 34838.

LCM(34829,34838) = 29¹ × 1201¹ × 2¹ × 17419¹
LCM(34829,34838) = 1213372702