Least Common Multiple of 36304 and 36308

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 36308 the smallest integer that is 329531408 that is divisible by both numbers.

Least Common Multiple (LCM) of 36304 and 36308 is 329531408.

LCM(36304,36308) = 329531408

LCM of 36304 and 36308

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

LCM of:
and

Least Common Multiple of 36304 and 36308

LCM of 36304 and 36308 is 329531408

Least common multiple can be found by multiplying the highest exponent prime factors of 36304 and 36308. First we will calculate the prime factors of 36304 and 36308.

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 36308


2 36308
2 18154
29 9077
313 313
1

Prime factors of 36308 are 2, 29,313. Prime factorization of 36308 in exponential form is:

36308 = 22×291×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 36304 and 36308.

LCM(36304,36308) = 24×291×3131×22691
LCM(36304,36308) = 329531408

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 36308

List of positive integer factors of 36308 that divides 36308 without a remainder.

1, 2, 4, 29, 58, 116, 313, 626, 1252, 9077, 18154, 36308

Least Common Multiple of 36304 and 36308 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 36308, than apply into the LCM equation.

GCF(36304,36308) = 4
LCM(36304,36308) = ( 36304 × 36308) / 4
LCM(36304,36308) = 1318125632 / 4
LCM(36304,36308) = 329531408

Properties of LCM 36304 and 36308

(i) The LCM of 36308 and 36304 is associative

LCM of 36304 and 36308 = LCM of 36308 and 36304

Related Least Common Multiples of 36304

Related Least Common Multiples of 36308

Frequently Asked Questions on LCM of 36304 and 36308

1. What is the LCM of 36304 and 36308?

Answer: LCM of 36304 and 36308 is 329531408.

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 36308?

Answer: Factors of 36308 are 1, 2, 4, 29, 58, 116, 313, 626, 1252, 9077, 18154, 36308. There are 12 integers that are factors of 36308. The greatest factor of 36308 is 36308.

4. How to Find the LCM of 36304 and 36308?

Answer:

Least Common Multiple of 36304 and 36308 = 329531408

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 36308

36308 = 2 x 2 x 29 x 313

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

LCM = 329531408 = 2 x 2 x 2 x 2 x 29 x 313 x 2269

Step 4: Therefore, the least common multiple of 36304 and 36308 is 329531408.