Least Common Multiple of 36030 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 36030 and 36036 the smallest integer that is 216396180 that is divisible by both numbers.

Least Common Multiple (LCM) of 36030 and 36036 is 216396180.

LCM(36030,36036) = 216396180

LCM of 36030 and 36036

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

LCM of:
and

Least Common Multiple of 36030 and 36036

LCM of 36030 and 36036 is 216396180

Least common multiple can be found by multiplying the highest exponent prime factors of 36030 and 36036. First we will calculate the prime factors of 36030 and 36036.

Prime Factorization of 36030


2 36030
3 18015
5 6005
1201 1201
1

Prime factors of 36030 are 2, 3, 5,1201. Prime factorization of 36030 in exponential form is:

36030 = 21×31×51×12011

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 36030 and 36036.

LCM(36030,36036) = 22×32×51×71×111×131×12011
LCM(36030,36036) = 216396180

Factors of 36030

List of positive integer factors of 36030 that divides 36030 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1201, 2402, 3603, 6005, 7206, 12010, 18015, 36030

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 36030 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 36030 and 36036, than apply into the LCM equation.

GCF(36030,36036) = 6
LCM(36030,36036) = ( 36030 × 36036) / 6
LCM(36030,36036) = 1298377080 / 6
LCM(36030,36036) = 216396180

Properties of LCM 36030 and 36036

(i) The LCM of 36036 and 36030 is associative

LCM of 36030 and 36036 = LCM of 36036 and 36030

Related Least Common Multiples of 36030

Related Least Common Multiples of 36036

Frequently Asked Questions on LCM of 36030 and 36036

1. What is the LCM of 36030 and 36036?

Answer: LCM of 36030 and 36036 is 216396180.

2. What are the Factors of 36030?

Answer: Factors of 36030 are 1, 2, 3, 5, 6, 10, 15, 30, 1201, 2402, 3603, 6005, 7206, 12010, 18015, 36030. There are 16 integers that are factors of 36030. The greatest factor of 36030 is 36030.

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 36030 and 36036?

Answer:

Least Common Multiple of 36030 and 36036 = 216396180

Step 1: Find the prime factorization of 36030

36030 = 2 x 3 x 5 x 1201

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 = 216396180 = 2 x 2 x 3 x 3 x 5 x 7 x 11 x 13 x 1201

Step 4: Therefore, the least common multiple of 36030 and 36036 is 216396180.