What is the Least Common Multiple of 33240 and 33260?

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 33260 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 33260, than apply into the LCM equation.

GCF(33240,33260) = 20
LCM(33240,33260) = ( 33240 × 33260) / 20
LCM(33240,33260) = 1105562400 / 20
LCM(33240,33260) = 55278120

Least Common Multiple (LCM) of 33240 and 33260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33240 and 33260. First we will calculate the prime factors of 33240 and 33260.

Prime Factorization of 33240

Prime Factorization of 33260

Now multiplying the highest exponent prime factors to calculate the LCM of 33240 and 33260.

LCM(33240,33260) = 2³ × 3¹ × 5¹ × 277¹ × 1663¹
LCM(33240,33260) = 55278120