What is the Least Common Multiple of 33842 and 33858?

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 33842 and 33858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33842 and 33858, than apply into the LCM equation.

GCF(33842,33858) = 2
LCM(33842,33858) = ( 33842 × 33858) / 2
LCM(33842,33858) = 1145822436 / 2
LCM(33842,33858) = 572911218

Least Common Multiple (LCM) of 33842 and 33858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33842 and 33858. First we will calculate the prime factors of 33842 and 33858.

Prime Factorization of 33842

Prime Factorization of 33858

Now multiplying the highest exponent prime factors to calculate the LCM of 33842 and 33858.

LCM(33842,33858) = 2¹ × 16921¹ × 3⁴ × 11¹ × 19¹
LCM(33842,33858) = 572911218