What is the Least Common Multiple of 34838 and 34853?

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 34838 and 34853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34838 and 34853, than apply into the LCM equation.

GCF(34838,34853) = 1
LCM(34838,34853) = ( 34838 × 34853) / 1
LCM(34838,34853) = 1214208814 / 1
LCM(34838,34853) = 1214208814

Least Common Multiple (LCM) of 34838 and 34853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34838 and 34853. First we will calculate the prime factors of 34838 and 34853.

Prime Factorization of 34838

Prime Factorization of 34853

Now multiplying the highest exponent prime factors to calculate the LCM of 34838 and 34853.

LCM(34838,34853) = 2¹ × 17419¹ × 7¹ × 13¹ × 383¹
LCM(34838,34853) = 1214208814