Least Common Multiple of 33231 and 33236

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 33236 the smallest integer that is 1104465516 that is divisible by both numbers.

Least Common Multiple (LCM) of 33231 and 33236 is 1104465516.

LCM(33231,33236) = 1104465516

LCM of 33231 and 33236

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

LCM of:
and

Least Common Multiple of 33231 and 33236

LCM of 33231 and 33236 is 1104465516

Least common multiple can be found by multiplying the highest exponent prime factors of 33231 and 33236. First we will calculate the prime factors of 33231 and 33236.

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 33236


2 33236
2 16618
7 8309
1187 1187
1

Prime factors of 33236 are 2, 7,1187. Prime factorization of 33236 in exponential form is:

33236 = 22×71×11871

Now multiplying the highest exponent prime factors to calculate the LCM of 33231 and 33236.

LCM(33231,33236) = 22×31×71×111×191×531×11871
LCM(33231,33236) = 1104465516

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 33236

List of positive integer factors of 33236 that divides 33236 without a remainder.

1, 2, 4, 7, 14, 28, 1187, 2374, 4748, 8309, 16618, 33236

Least Common Multiple of 33231 and 33236 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 33236, than apply into the LCM equation.

GCF(33231,33236) = 1
LCM(33231,33236) = ( 33231 × 33236) / 1
LCM(33231,33236) = 1104465516 / 1
LCM(33231,33236) = 1104465516

Properties of LCM 33231 and 33236

(i) The LCM of 33236 and 33231 is associative

LCM of 33231 and 33236 = LCM of 33236 and 33231

Related Least Common Multiples of 33231

Related Least Common Multiples of 33236

Frequently Asked Questions on LCM of 33231 and 33236

1. What is the LCM of 33231 and 33236?

Answer: LCM of 33231 and 33236 is 1104465516.

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 33236?

Answer: Factors of 33236 are 1, 2, 4, 7, 14, 28, 1187, 2374, 4748, 8309, 16618, 33236. There are 12 integers that are factors of 33236. The greatest factor of 33236 is 33236.

4. How to Find the LCM of 33231 and 33236?

Answer:

Least Common Multiple of 33231 and 33236 = 1104465516

Step 1: Find the prime factorization of 33231

33231 = 3 x 11 x 19 x 53

Step 2: Find the prime factorization of 33236

33236 = 2 x 2 x 7 x 1187

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

LCM = 1104465516 = 2 x 2 x 3 x 7 x 11 x 19 x 53 x 1187

Step 4: Therefore, the least common multiple of 33231 and 33236 is 1104465516.