Least Common Multiple of 36304 and 36311

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 36311 the smallest integer that is 1318234544 that is divisible by both numbers.

Least Common Multiple (LCM) of 36304 and 36311 is 1318234544.

LCM(36304,36311) = 1318234544

LCM of 36304 and 36311

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

LCM of:
and

Least Common Multiple of 36304 and 36311

LCM of 36304 and 36311 is 1318234544

Least common multiple can be found by multiplying the highest exponent prime factors of 36304 and 36311. First we will calculate the prime factors of 36304 and 36311.

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 36311


11 36311
3301 3301
1

Prime factors of 36311 are 11,3301. Prime factorization of 36311 in exponential form is:

36311 = 111×33011

Now multiplying the highest exponent prime factors to calculate the LCM of 36304 and 36311.

LCM(36304,36311) = 24×111×22691×33011
LCM(36304,36311) = 1318234544

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 36311

List of positive integer factors of 36311 that divides 36311 without a remainder.

1, 11, 3301, 36311

Least Common Multiple of 36304 and 36311 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 36311, than apply into the LCM equation.

GCF(36304,36311) = 1
LCM(36304,36311) = ( 36304 × 36311) / 1
LCM(36304,36311) = 1318234544 / 1
LCM(36304,36311) = 1318234544

Properties of LCM 36304 and 36311

(i) The LCM of 36311 and 36304 is associative

LCM of 36304 and 36311 = LCM of 36311 and 36304

Related Least Common Multiples of 36304

Related Least Common Multiples of 36311

Frequently Asked Questions on LCM of 36304 and 36311

1. What is the LCM of 36304 and 36311?

Answer: LCM of 36304 and 36311 is 1318234544.

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 36311?

Answer: Factors of 36311 are 1, 11, 3301, 36311. There are 4 integers that are factors of 36311. The greatest factor of 36311 is 36311.

4. How to Find the LCM of 36304 and 36311?

Answer:

Least Common Multiple of 36304 and 36311 = 1318234544

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 36311

36311 = 11 x 3301

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

LCM = 1318234544 = 2 x 2 x 2 x 2 x 11 x 2269 x 3301

Step 4: Therefore, the least common multiple of 36304 and 36311 is 1318234544.