Least Common Multiple of 36308 and 36315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36308 and 36315 the smallest integer that is 1318525020 that is divisible by both numbers.

Least Common Multiple (LCM) of 36308 and 36315 is 1318525020.

LCM(36308,36315) = 1318525020

LCM of 36308 and 36315

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

LCM of:
and

Least Common Multiple of 36308 and 36315

LCM of 36308 and 36315 is 1318525020

Least common multiple can be found by multiplying the highest exponent prime factors of 36308 and 36315. First we will calculate the prime factors of 36308 and 36315.

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

Prime Factorization of 36315


3 36315
3 12105
3 4035
5 1345
269 269
1

Prime factors of 36315 are 3, 5,269. Prime factorization of 36315 in exponential form is:

36315 = 33×51×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 36308 and 36315.

LCM(36308,36315) = 22×33×51×291×2691×3131
LCM(36308,36315) = 1318525020

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

Factors of 36315

List of positive integer factors of 36315 that divides 36315 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 269, 807, 1345, 2421, 4035, 7263, 12105, 36315

Least Common Multiple of 36308 and 36315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36308 and 36315, than apply into the LCM equation.

GCF(36308,36315) = 1
LCM(36308,36315) = ( 36308 × 36315) / 1
LCM(36308,36315) = 1318525020 / 1
LCM(36308,36315) = 1318525020

Properties of LCM 36308 and 36315

(i) The LCM of 36315 and 36308 is associative

LCM of 36308 and 36315 = LCM of 36315 and 36308

Related Least Common Multiples of 36308

Related Least Common Multiples of 36315

Frequently Asked Questions on LCM of 36308 and 36315

1. What is the LCM of 36308 and 36315?

Answer: LCM of 36308 and 36315 is 1318525020.

2. 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.

3. What are the Factors of 36315?

Answer: Factors of 36315 are 1, 3, 5, 9, 15, 27, 45, 135, 269, 807, 1345, 2421, 4035, 7263, 12105, 36315. There are 16 integers that are factors of 36315. The greatest factor of 36315 is 36315.

4. How to Find the LCM of 36308 and 36315?

Answer:

Least Common Multiple of 36308 and 36315 = 1318525020

Step 1: Find the prime factorization of 36308

36308 = 2 x 2 x 29 x 313

Step 2: Find the prime factorization of 36315

36315 = 3 x 3 x 3 x 5 x 269

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

LCM = 1318525020 = 2 x 2 x 3 x 3 x 3 x 5 x 29 x 269 x 313

Step 4: Therefore, the least common multiple of 36308 and 36315 is 1318525020.