Least Common Multiple of 33837 and 33845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 33837 and 33845 the smallest integer that is 1145213265 that is divisible by both numbers.

Least Common Multiple (LCM) of 33837 and 33845 is 1145213265.

LCM(33837,33845) = 1145213265

LCM of 33837 and 33845

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

LCM of:
and

Least Common Multiple of 33837 and 33845

LCM of 33837 and 33845 is 1145213265

Least common multiple can be found by multiplying the highest exponent prime factors of 33837 and 33845. First we will calculate the prime factors of 33837 and 33845.

Prime Factorization of 33837


3 33837
11279 11279
1

Prime factors of 33837 are 3,11279. Prime factorization of 33837 in exponential form is:

33837 = 31×112791

Prime Factorization of 33845


5 33845
7 6769
967 967
1

Prime factors of 33845 are 5, 7,967. Prime factorization of 33845 in exponential form is:

33845 = 51×71×9671

Now multiplying the highest exponent prime factors to calculate the LCM of 33837 and 33845.

LCM(33837,33845) = 31×51×71×9671×112791
LCM(33837,33845) = 1145213265

Factors of 33837

List of positive integer factors of 33837 that divides 33837 without a remainder.

1, 3, 11279, 33837

Factors of 33845

List of positive integer factors of 33845 that divides 33845 without a remainder.

1, 5, 7, 35, 967, 4835, 6769, 33845

Least Common Multiple of 33837 and 33845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33837 and 33845, than apply into the LCM equation.

GCF(33837,33845) = 1
LCM(33837,33845) = ( 33837 × 33845) / 1
LCM(33837,33845) = 1145213265 / 1
LCM(33837,33845) = 1145213265

Properties of LCM 33837 and 33845

(i) The LCM of 33845 and 33837 is associative

LCM of 33837 and 33845 = LCM of 33845 and 33837

Frequently Asked Questions on LCM of 33837 and 33845

1. What is the LCM of 33837 and 33845?

Answer: LCM of 33837 and 33845 is 1145213265.

2. What are the Factors of 33837?

Answer: Factors of 33837 are 1, 3, 11279, 33837. There are 4 integers that are factors of 33837. The greatest factor of 33837 is 33837.

3. What are the Factors of 33845?

Answer: Factors of 33845 are 1, 5, 7, 35, 967, 4835, 6769, 33845. There are 8 integers that are factors of 33845. The greatest factor of 33845 is 33845.

4. How to Find the LCM of 33837 and 33845?

Answer:

Least Common Multiple of 33837 and 33845 = 1145213265

Step 1: Find the prime factorization of 33837

33837 = 3 x 11279

Step 2: Find the prime factorization of 33845

33845 = 5 x 7 x 967

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

LCM = 1145213265 = 3 x 5 x 7 x 967 x 11279

Step 4: Therefore, the least common multiple of 33837 and 33845 is 1145213265.