What is the Least Common Multiple of 33034 and 33042?

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 33034 and 33042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33034 and 33042, than apply into the LCM equation.

GCF(33034,33042) = 2
LCM(33034,33042) = ( 33034 × 33042) / 2
LCM(33034,33042) = 1091509428 / 2
LCM(33034,33042) = 545754714

Least Common Multiple (LCM) of 33034 and 33042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33034 and 33042. First we will calculate the prime factors of 33034 and 33042.

Prime Factorization of 33034

Prime Factorization of 33042

Now multiplying the highest exponent prime factors to calculate the LCM of 33034 and 33042.

LCM(33034,33042) = 2¹ × 83¹ × 199¹ × 3¹ × 5507¹
LCM(33034,33042) = 545754714