What is the Least Common Multiple of 33838 and 33854?

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 33838 and 33854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33838 and 33854, than apply into the LCM equation.

GCF(33838,33854) = 2
LCM(33838,33854) = ( 33838 × 33854) / 2
LCM(33838,33854) = 1145551652 / 2
LCM(33838,33854) = 572775826

Least Common Multiple (LCM) of 33838 and 33854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33838 and 33854. First we will calculate the prime factors of 33838 and 33854.

Prime Factorization of 33838

Prime Factorization of 33854

Now multiplying the highest exponent prime factors to calculate the LCM of 33838 and 33854.

LCM(33838,33854) = 2¹ × 7¹ × 2417¹ × 16927¹
LCM(33838,33854) = 572775826