Least Common Multiple of 36032 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 36032 and 36036 the smallest integer that is 324612288 that is divisible by both numbers.

Least Common Multiple (LCM) of 36032 and 36036 is 324612288.

LCM(36032,36036) = 324612288

LCM of 36032 and 36036

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

LCM of:
and

Least Common Multiple of 36032 and 36036

LCM of 36032 and 36036 is 324612288

Least common multiple can be found by multiplying the highest exponent prime factors of 36032 and 36036. First we will calculate the prime factors of 36032 and 36036.

Prime Factorization of 36032


2 36032
2 18016
2 9008
2 4504
2 2252
2 1126
563 563
1

Prime factors of 36032 are 2,563. Prime factorization of 36032 in exponential form is:

36032 = 26×5631

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 36032 and 36036.

LCM(36032,36036) = 26×32×71×111×131×5631
LCM(36032,36036) = 324612288

Factors of 36032

List of positive integer factors of 36032 that divides 36032 without a remainder.

1, 2, 4, 8, 16, 32, 64, 563, 1126, 2252, 4504, 9008, 18016, 36032

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 36032 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 36032 and 36036, than apply into the LCM equation.

GCF(36032,36036) = 4
LCM(36032,36036) = ( 36032 × 36036) / 4
LCM(36032,36036) = 1298449152 / 4
LCM(36032,36036) = 324612288

Properties of LCM 36032 and 36036

(i) The LCM of 36036 and 36032 is associative

LCM of 36032 and 36036 = LCM of 36036 and 36032

Related Least Common Multiples of 36032

Related Least Common Multiples of 36036

Frequently Asked Questions on LCM of 36032 and 36036

1. What is the LCM of 36032 and 36036?

Answer: LCM of 36032 and 36036 is 324612288.

2. What are the Factors of 36032?

Answer: Factors of 36032 are 1, 2, 4, 8, 16, 32, 64, 563, 1126, 2252, 4504, 9008, 18016, 36032. There are 14 integers that are factors of 36032. The greatest factor of 36032 is 36032.

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 36032 and 36036?

Answer:

Least Common Multiple of 36032 and 36036 = 324612288

Step 1: Find the prime factorization of 36032

36032 = 2 x 2 x 2 x 2 x 2 x 2 x 563

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 = 324612288 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 11 x 13 x 563

Step 4: Therefore, the least common multiple of 36032 and 36036 is 324612288.