Least Common Multiple of 33240 and 33244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 33240 and 33244 the smallest integer that is 276257640 that is divisible by both numbers.

Least Common Multiple (LCM) of 33240 and 33244 is 276257640.

LCM(33240,33244) = 276257640

LCM of 33240 and 33244

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 33240 and 33244

LCM of 33240 and 33244 is 276257640

Least common multiple can be found by multiplying the highest exponent prime factors of 33240 and 33244. First we will calculate the prime factors of 33240 and 33244.

Prime Factorization of 33240


2 33240
2 16620
2 8310
3 4155
5 1385
277 277
1

Prime factors of 33240 are 2, 3, 5,277. Prime factorization of 33240 in exponential form is:

33240 = 23×31×51×2771

Prime Factorization of 33244


2 33244
2 16622
8311 8311
1

Prime factors of 33244 are 2,8311. Prime factorization of 33244 in exponential form is:

33244 = 22×83111

Now multiplying the highest exponent prime factors to calculate the LCM of 33240 and 33244.

LCM(33240,33244) = 23×31×51×2771×83111
LCM(33240,33244) = 276257640

Factors of 33240

List of positive integer factors of 33240 that divides 33240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 277, 554, 831, 1108, 1385, 1662, 2216, 2770, 3324, 4155, 5540, 6648, 8310, 11080, 16620, 33240

Factors of 33244

List of positive integer factors of 33244 that divides 33244 without a remainder.

1, 2, 4, 8311, 16622, 33244

Least Common Multiple of 33240 and 33244 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 33244, than apply into the LCM equation.

GCF(33240,33244) = 4
LCM(33240,33244) = ( 33240 × 33244) / 4
LCM(33240,33244) = 1105030560 / 4
LCM(33240,33244) = 276257640

Properties of LCM 33240 and 33244

(i) The LCM of 33244 and 33240 is associative

LCM of 33240 and 33244 = LCM of 33244 and 33240

Related Least Common Multiples of 33240

Related Least Common Multiples of 33244

Frequently Asked Questions on LCM of 33240 and 33244

1. What is the LCM of 33240 and 33244?

Answer: LCM of 33240 and 33244 is 276257640.

2. What are the Factors of 33240?

Answer: Factors of 33240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 277, 554, 831, 1108, 1385, 1662, 2216, 2770, 3324, 4155, 5540, 6648, 8310, 11080, 16620, 33240. There are 32 integers that are factors of 33240. The greatest factor of 33240 is 33240.

3. What are the Factors of 33244?

Answer: Factors of 33244 are 1, 2, 4, 8311, 16622, 33244. There are 6 integers that are factors of 33244. The greatest factor of 33244 is 33244.

4. How to Find the LCM of 33240 and 33244?

Answer:

Least Common Multiple of 33240 and 33244 = 276257640

Step 1: Find the prime factorization of 33240

33240 = 2 x 2 x 2 x 3 x 5 x 277

Step 2: Find the prime factorization of 33244

33244 = 2 x 2 x 8311

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 276257640 = 2 x 2 x 2 x 3 x 5 x 277 x 8311

Step 4: Therefore, the least common multiple of 33240 and 33244 is 276257640.