Least Common Multiple of 36036 and 36043

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 36043 the smallest integer that is 185549364 that is divisible by both numbers.

Least Common Multiple (LCM) of 36036 and 36043 is 185549364.

LCM(36036,36043) = 185549364

LCM of 36036 and 36043

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

LCM of:
and

Least Common Multiple of 36036 and 36043

LCM of 36036 and 36043 is 185549364

Least common multiple can be found by multiplying the highest exponent prime factors of 36036 and 36043. First we will calculate the prime factors of 36036 and 36043.

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 36043


7 36043
19 5149
271 271
1

Prime factors of 36043 are 7, 19,271. Prime factorization of 36043 in exponential form is:

36043 = 71×191×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 36036 and 36043.

LCM(36036,36043) = 22×32×71×111×131×191×2711
LCM(36036,36043) = 185549364

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 36043

List of positive integer factors of 36043 that divides 36043 without a remainder.

1, 7, 19, 133, 271, 1897, 5149, 36043

Least Common Multiple of 36036 and 36043 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 36043, than apply into the LCM equation.

GCF(36036,36043) = 7
LCM(36036,36043) = ( 36036 × 36043) / 7
LCM(36036,36043) = 1298845548 / 7
LCM(36036,36043) = 185549364

Properties of LCM 36036 and 36043

(i) The LCM of 36043 and 36036 is associative

LCM of 36036 and 36043 = LCM of 36043 and 36036

Related Least Common Multiples of 36036

Related Least Common Multiples of 36043

Frequently Asked Questions on LCM of 36036 and 36043

1. What is the LCM of 36036 and 36043?

Answer: LCM of 36036 and 36043 is 185549364.

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 36043?

Answer: Factors of 36043 are 1, 7, 19, 133, 271, 1897, 5149, 36043. There are 8 integers that are factors of 36043. The greatest factor of 36043 is 36043.

4. How to Find the LCM of 36036 and 36043?

Answer:

Least Common Multiple of 36036 and 36043 = 185549364

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 36043

36043 = 7 x 19 x 271

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

LCM = 185549364 = 2 x 2 x 3 x 3 x 7 x 11 x 13 x 19 x 271

Step 4: Therefore, the least common multiple of 36036 and 36043 is 185549364.