Least Common Multiple of 36304 and 36309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36304 and 36309 the smallest integer that is 1318161936 that is divisible by both numbers.

Least Common Multiple (LCM) of 36304 and 36309 is 1318161936.

LCM(36304,36309) = 1318161936

LCM of 36304 and 36309

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

LCM of:
and

Least Common Multiple of 36304 and 36309

LCM of 36304 and 36309 is 1318161936

Least common multiple can be found by multiplying the highest exponent prime factors of 36304 and 36309. First we will calculate the prime factors of 36304 and 36309.

Prime Factorization of 36304


2 36304
2 18152
2 9076
2 4538
2269 2269
1

Prime factors of 36304 are 2,2269. Prime factorization of 36304 in exponential form is:

36304 = 24×22691

Prime Factorization of 36309


3 36309
7 12103
7 1729
13 247
19 19
1

Prime factors of 36309 are 3, 7, 13,19. Prime factorization of 36309 in exponential form is:

36309 = 31×72×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 36304 and 36309.

LCM(36304,36309) = 24×31×72×131×191×22691
LCM(36304,36309) = 1318161936

Factors of 36304

List of positive integer factors of 36304 that divides 36304 without a remainder.

1, 2, 4, 8, 16, 2269, 4538, 9076, 18152, 36304

Factors of 36309

List of positive integer factors of 36309 that divides 36309 without a remainder.

1, 3, 7, 13, 19, 21, 39, 49, 57, 91, 133, 147, 247, 273, 399, 637, 741, 931, 1729, 1911, 2793, 5187, 12103, 36309

Least Common Multiple of 36304 and 36309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36304 and 36309, than apply into the LCM equation.

GCF(36304,36309) = 1
LCM(36304,36309) = ( 36304 × 36309) / 1
LCM(36304,36309) = 1318161936 / 1
LCM(36304,36309) = 1318161936

Properties of LCM 36304 and 36309

(i) The LCM of 36309 and 36304 is associative

LCM of 36304 and 36309 = LCM of 36309 and 36304

Related Least Common Multiples of 36304

Related Least Common Multiples of 36309

Frequently Asked Questions on LCM of 36304 and 36309

1. What is the LCM of 36304 and 36309?

Answer: LCM of 36304 and 36309 is 1318161936.

2. What are the Factors of 36304?

Answer: Factors of 36304 are 1, 2, 4, 8, 16, 2269, 4538, 9076, 18152, 36304. There are 10 integers that are factors of 36304. The greatest factor of 36304 is 36304.

3. What are the Factors of 36309?

Answer: Factors of 36309 are 1, 3, 7, 13, 19, 21, 39, 49, 57, 91, 133, 147, 247, 273, 399, 637, 741, 931, 1729, 1911, 2793, 5187, 12103, 36309. There are 24 integers that are factors of 36309. The greatest factor of 36309 is 36309.

4. How to Find the LCM of 36304 and 36309?

Answer:

Least Common Multiple of 36304 and 36309 = 1318161936

Step 1: Find the prime factorization of 36304

36304 = 2 x 2 x 2 x 2 x 2269

Step 2: Find the prime factorization of 36309

36309 = 3 x 7 x 7 x 13 x 19

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

LCM = 1318161936 = 2 x 2 x 2 x 2 x 3 x 7 x 7 x 13 x 19 x 2269

Step 4: Therefore, the least common multiple of 36304 and 36309 is 1318161936.