Least Common Multiple of 36036 and 36044

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36036 and 36044 the smallest integer that is 324720396 that is divisible by both numbers.

Least Common Multiple (LCM) of 36036 and 36044 is 324720396.

LCM(36036,36044) = 324720396

LCM of 36036 and 36044

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

LCM of:
and

Least Common Multiple of 36036 and 36044

LCM of 36036 and 36044 is 324720396

Least common multiple can be found by multiplying the highest exponent prime factors of 36036 and 36044. First we will calculate the prime factors of 36036 and 36044.

Prime Factorization of 36036


2 36036
2 18018
3 9009
3 3003
7 1001
11 143
13 13
1

Prime factors of 36036 are 2, 3, 7, 11,13. Prime factorization of 36036 in exponential form is:

36036 = 22×32×71×111×131

Prime Factorization of 36044


2 36044
2 18022
9011 9011
1

Prime factors of 36044 are 2,9011. Prime factorization of 36044 in exponential form is:

36044 = 22×90111

Now multiplying the highest exponent prime factors to calculate the LCM of 36036 and 36044.

LCM(36036,36044) = 22×32×71×111×131×90111
LCM(36036,36044) = 324720396

Factors of 36036

List of positive integer factors of 36036 that divides 36036 without a remainder.

1, 2, 3, 4, 6, 7, 9, 11, 12, 13, 14, 18, 21, 22, 26, 28, 33, 36, 39, 42, 44, 52, 63, 66, 77, 78, 84, 91, 99, 117, 126, 132, 143, 154, 156, 182, 198, 231, 234, 252, 273, 286, 308, 364, 396, 429, 462, 468, 546, 572, 693, 819, 858, 924, 1001, 1092, 1287, 1386, 1638, 1716, 2002, 2574, 2772, 3003, 3276, 4004, 5148, 6006, 9009, 12012, 18018, 36036

Factors of 36044

List of positive integer factors of 36044 that divides 36044 without a remainder.

1, 2, 4, 9011, 18022, 36044

Least Common Multiple of 36036 and 36044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36036 and 36044, than apply into the LCM equation.

GCF(36036,36044) = 4
LCM(36036,36044) = ( 36036 × 36044) / 4
LCM(36036,36044) = 1298881584 / 4
LCM(36036,36044) = 324720396

Properties of LCM 36036 and 36044

(i) The LCM of 36044 and 36036 is associative

LCM of 36036 and 36044 = LCM of 36044 and 36036

Related Least Common Multiples of 36036

Related Least Common Multiples of 36044

Frequently Asked Questions on LCM of 36036 and 36044

1. What is the LCM of 36036 and 36044?

Answer: LCM of 36036 and 36044 is 324720396.

2. What are the Factors of 36036?

Answer: Factors of 36036 are 1, 2, 3, 4, 6, 7, 9, 11, 12, 13, 14, 18, 21, 22, 26, 28, 33, 36, 39, 42, 44, 52, 63, 66, 77, 78, 84, 91, 99, 117, 126, 132, 143, 154, 156, 182, 198, 231, 234, 252, 273, 286, 308, 364, 396, 429, 462, 468, 546, 572, 693, 819, 858, 924, 1001, 1092, 1287, 1386, 1638, 1716, 2002, 2574, 2772, 3003, 3276, 4004, 5148, 6006, 9009, 12012, 18018, 36036. There are 72 integers that are factors of 36036. The greatest factor of 36036 is 36036.

3. What are the Factors of 36044?

Answer: Factors of 36044 are 1, 2, 4, 9011, 18022, 36044. There are 6 integers that are factors of 36044. The greatest factor of 36044 is 36044.

4. How to Find the LCM of 36036 and 36044?

Answer:

Least Common Multiple of 36036 and 36044 = 324720396

Step 1: Find the prime factorization of 36036

36036 = 2 x 2 x 3 x 3 x 7 x 11 x 13

Step 2: Find the prime factorization of 36044

36044 = 2 x 2 x 9011

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

LCM = 324720396 = 2 x 2 x 3 x 3 x 7 x 11 x 13 x 9011

Step 4: Therefore, the least common multiple of 36036 and 36044 is 324720396.