What is the Least Common Multiple of 33594 and 33605?

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 33594 and 33605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33594 and 33605, than apply into the LCM equation.

GCF(33594,33605) = 11
LCM(33594,33605) = ( 33594 × 33605) / 11
LCM(33594,33605) = 1128926370 / 11
LCM(33594,33605) = 102629670

Least Common Multiple (LCM) of 33594 and 33605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33594 and 33605. First we will calculate the prime factors of 33594 and 33605.

Prime Factorization of 33594

Prime Factorization of 33605

Now multiplying the highest exponent prime factors to calculate the LCM of 33594 and 33605.

LCM(33594,33605) = 2¹ × 3¹ × 11¹ × 509¹ × 5¹ × 13¹ × 47¹
LCM(33594,33605) = 102629670