Least Common Multiple of 36031 and 36036

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36031 and 36036 the smallest integer that is 1298413116 that is divisible by both numbers.

Least Common Multiple (LCM) of 36031 and 36036 is 1298413116.

LCM(36031,36036) = 1298413116

LCM of 36031 and 36036

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

LCM of:
and

Least Common Multiple of 36031 and 36036

LCM of 36031 and 36036 is 1298413116

Least common multiple can be found by multiplying the highest exponent prime factors of 36031 and 36036. First we will calculate the prime factors of 36031 and 36036.

Prime Factorization of 36031


137 36031
263 263
1

Prime factors of 36031 are 137,263. Prime factorization of 36031 in exponential form is:

36031 = 1371×2631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 36031 and 36036.

LCM(36031,36036) = 22×32×71×111×131×1371×2631
LCM(36031,36036) = 1298413116

Factors of 36031

List of positive integer factors of 36031 that divides 36031 without a remainder.

1, 137, 263, 36031

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

Least Common Multiple of 36031 and 36036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36031 and 36036, than apply into the LCM equation.

GCF(36031,36036) = 1
LCM(36031,36036) = ( 36031 × 36036) / 1
LCM(36031,36036) = 1298413116 / 1
LCM(36031,36036) = 1298413116

Properties of LCM 36031 and 36036

(i) The LCM of 36036 and 36031 is associative

LCM of 36031 and 36036 = LCM of 36036 and 36031

Related Least Common Multiples of 36031

Related Least Common Multiples of 36036

Frequently Asked Questions on LCM of 36031 and 36036

1. What is the LCM of 36031 and 36036?

Answer: LCM of 36031 and 36036 is 1298413116.

2. What are the Factors of 36031?

Answer: Factors of 36031 are 1, 137, 263, 36031. There are 4 integers that are factors of 36031. The greatest factor of 36031 is 36031.

3. 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.

4. How to Find the LCM of 36031 and 36036?

Answer:

Least Common Multiple of 36031 and 36036 = 1298413116

Step 1: Find the prime factorization of 36031

36031 = 137 x 263

Step 2: Find the prime factorization of 36036

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

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

LCM = 1298413116 = 2 x 2 x 3 x 3 x 7 x 11 x 13 x 137 x 263

Step 4: Therefore, the least common multiple of 36031 and 36036 is 1298413116.