Least Common Multiple of 33231 and 33237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 33231 and 33237 the smallest integer that is 368166249 that is divisible by both numbers.

Least Common Multiple (LCM) of 33231 and 33237 is 368166249.

LCM(33231,33237) = 368166249

LCM of 33231 and 33237

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

LCM of:
and

Least Common Multiple of 33231 and 33237

LCM of 33231 and 33237 is 368166249

Least common multiple can be found by multiplying the highest exponent prime factors of 33231 and 33237. First we will calculate the prime factors of 33231 and 33237.

Prime Factorization of 33231


3 33231
11 11077
19 1007
53 53
1

Prime factors of 33231 are 3, 11, 19,53. Prime factorization of 33231 in exponential form is:

33231 = 31×111×191×531

Prime Factorization of 33237


3 33237
3 11079
3 3693
1231 1231
1

Prime factors of 33237 are 3,1231. Prime factorization of 33237 in exponential form is:

33237 = 33×12311

Now multiplying the highest exponent prime factors to calculate the LCM of 33231 and 33237.

LCM(33231,33237) = 33×111×191×531×12311
LCM(33231,33237) = 368166249

Factors of 33231

List of positive integer factors of 33231 that divides 33231 without a remainder.

1, 3, 11, 19, 33, 53, 57, 159, 209, 583, 627, 1007, 1749, 3021, 11077, 33231

Factors of 33237

List of positive integer factors of 33237 that divides 33237 without a remainder.

1, 3, 9, 27, 1231, 3693, 11079, 33237

Least Common Multiple of 33231 and 33237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33231 and 33237, than apply into the LCM equation.

GCF(33231,33237) = 3
LCM(33231,33237) = ( 33231 × 33237) / 3
LCM(33231,33237) = 1104498747 / 3
LCM(33231,33237) = 368166249

Properties of LCM 33231 and 33237

(i) The LCM of 33237 and 33231 is associative

LCM of 33231 and 33237 = LCM of 33237 and 33231

Related Least Common Multiples of 33231

Related Least Common Multiples of 33237

Frequently Asked Questions on LCM of 33231 and 33237

1. What is the LCM of 33231 and 33237?

Answer: LCM of 33231 and 33237 is 368166249.

2. What are the Factors of 33231?

Answer: Factors of 33231 are 1, 3, 11, 19, 33, 53, 57, 159, 209, 583, 627, 1007, 1749, 3021, 11077, 33231. There are 16 integers that are factors of 33231. The greatest factor of 33231 is 33231.

3. What are the Factors of 33237?

Answer: Factors of 33237 are 1, 3, 9, 27, 1231, 3693, 11079, 33237. There are 8 integers that are factors of 33237. The greatest factor of 33237 is 33237.

4. How to Find the LCM of 33231 and 33237?

Answer:

Least Common Multiple of 33231 and 33237 = 368166249

Step 1: Find the prime factorization of 33231

33231 = 3 x 11 x 19 x 53

Step 2: Find the prime factorization of 33237

33237 = 3 x 3 x 3 x 1231

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

LCM = 368166249 = 3 x 3 x 3 x 11 x 19 x 53 x 1231

Step 4: Therefore, the least common multiple of 33231 and 33237 is 368166249.