What is the Least Common Multiple of 33240 and 33254?

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 33240 and 33254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33240 and 33254, than apply into the LCM equation.

GCF(33240,33254) = 2
LCM(33240,33254) = ( 33240 × 33254) / 2
LCM(33240,33254) = 1105362960 / 2
LCM(33240,33254) = 552681480

Least Common Multiple (LCM) of 33240 and 33254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33240 and 33254. First we will calculate the prime factors of 33240 and 33254.

Prime Factorization of 33240

Prime Factorization of 33254

Now multiplying the highest exponent prime factors to calculate the LCM of 33240 and 33254.

LCM(33240,33254) = 2³ × 3¹ × 5¹ × 277¹ × 13¹ × 1279¹
LCM(33240,33254) = 552681480