What is the Least Common Multiple of 33424 and 33442?

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 33424 and 33442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33424 and 33442, than apply into the LCM equation.

GCF(33424,33442) = 2
LCM(33424,33442) = ( 33424 × 33442) / 2
LCM(33424,33442) = 1117765408 / 2
LCM(33424,33442) = 558882704

Least Common Multiple (LCM) of 33424 and 33442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33424 and 33442. First we will calculate the prime factors of 33424 and 33442.

Prime Factorization of 33424

Prime Factorization of 33442

Now multiplying the highest exponent prime factors to calculate the LCM of 33424 and 33442.

LCM(33424,33442) = 2⁴ × 2089¹ × 23¹ × 727¹
LCM(33424,33442) = 558882704