Least Common Multiple of 12832 and 12837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12832 and 12837 the smallest integer that is 164724384 that is divisible by both numbers.

Least Common Multiple (LCM) of 12832 and 12837 is 164724384.

LCM(12832,12837) = 164724384

LCM of 12832 and 12837

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

LCM of:
and

Least Common Multiple of 12832 and 12837

LCM of 12832 and 12837 is 164724384

Least common multiple can be found by multiplying the highest exponent prime factors of 12832 and 12837. First we will calculate the prime factors of 12832 and 12837.

Prime Factorization of 12832


2 12832
2 6416
2 3208
2 1604
2 802
401 401
1

Prime factors of 12832 are 2,401. Prime factorization of 12832 in exponential form is:

12832 = 25×4011

Prime Factorization of 12837


3 12837
11 4279
389 389
1

Prime factors of 12837 are 3, 11,389. Prime factorization of 12837 in exponential form is:

12837 = 31×111×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 12832 and 12837.

LCM(12832,12837) = 25×31×111×3891×4011
LCM(12832,12837) = 164724384

Factors of 12832

List of positive integer factors of 12832 that divides 12832 without a remainder.

1, 2, 4, 8, 16, 32, 401, 802, 1604, 3208, 6416, 12832

Factors of 12837

List of positive integer factors of 12837 that divides 12837 without a remainder.

1, 3, 11, 33, 389, 1167, 4279, 12837

Least Common Multiple of 12832 and 12837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12832 and 12837, than apply into the LCM equation.

GCF(12832,12837) = 1
LCM(12832,12837) = ( 12832 × 12837) / 1
LCM(12832,12837) = 164724384 / 1
LCM(12832,12837) = 164724384

Properties of LCM 12832 and 12837

(i) The LCM of 12837 and 12832 is associative

LCM of 12832 and 12837 = LCM of 12837 and 12832

Related Least Common Multiples of 12832

Related Least Common Multiples of 12837

Frequently Asked Questions on LCM of 12832 and 12837

1. What is the LCM of 12832 and 12837?

Answer: LCM of 12832 and 12837 is 164724384.

2. What are the Factors of 12832?

Answer: Factors of 12832 are 1, 2, 4, 8, 16, 32, 401, 802, 1604, 3208, 6416, 12832. There are 12 integers that are factors of 12832. The greatest factor of 12832 is 12832.

3. What are the Factors of 12837?

Answer: Factors of 12837 are 1, 3, 11, 33, 389, 1167, 4279, 12837. There are 8 integers that are factors of 12837. The greatest factor of 12837 is 12837.

4. How to Find the LCM of 12832 and 12837?

Answer:

Least Common Multiple of 12832 and 12837 = 164724384

Step 1: Find the prime factorization of 12832

12832 = 2 x 2 x 2 x 2 x 2 x 401

Step 2: Find the prime factorization of 12837

12837 = 3 x 11 x 389

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

LCM = 164724384 = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 389 x 401

Step 4: Therefore, the least common multiple of 12832 and 12837 is 164724384.