Least Common Multiple of 36308 and 36316

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 36316 the smallest integer that is 329640332 that is divisible by both numbers.

Least Common Multiple (LCM) of 36308 and 36316 is 329640332.

LCM(36308,36316) = 329640332

LCM of 36308 and 36316

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

LCM of:
and

Least Common Multiple of 36308 and 36316

LCM of 36308 and 36316 is 329640332

Least common multiple can be found by multiplying the highest exponent prime factors of 36308 and 36316. First we will calculate the prime factors of 36308 and 36316.

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 36316


2 36316
2 18158
7 9079
1297 1297
1

Prime factors of 36316 are 2, 7,1297. Prime factorization of 36316 in exponential form is:

36316 = 22×71×12971

Now multiplying the highest exponent prime factors to calculate the LCM of 36308 and 36316.

LCM(36308,36316) = 22×71×291×3131×12971
LCM(36308,36316) = 329640332

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 36316

List of positive integer factors of 36316 that divides 36316 without a remainder.

1, 2, 4, 7, 14, 28, 1297, 2594, 5188, 9079, 18158, 36316

Least Common Multiple of 36308 and 36316 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 36316, than apply into the LCM equation.

GCF(36308,36316) = 4
LCM(36308,36316) = ( 36308 × 36316) / 4
LCM(36308,36316) = 1318561328 / 4
LCM(36308,36316) = 329640332

Properties of LCM 36308 and 36316

(i) The LCM of 36316 and 36308 is associative

LCM of 36308 and 36316 = LCM of 36316 and 36308

Related Least Common Multiples of 36308

Related Least Common Multiples of 36316

Frequently Asked Questions on LCM of 36308 and 36316

1. What is the LCM of 36308 and 36316?

Answer: LCM of 36308 and 36316 is 329640332.

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 36316?

Answer: Factors of 36316 are 1, 2, 4, 7, 14, 28, 1297, 2594, 5188, 9079, 18158, 36316. There are 12 integers that are factors of 36316. The greatest factor of 36316 is 36316.

4. How to Find the LCM of 36308 and 36316?

Answer:

Least Common Multiple of 36308 and 36316 = 329640332

Step 1: Find the prime factorization of 36308

36308 = 2 x 2 x 29 x 313

Step 2: Find the prime factorization of 36316

36316 = 2 x 2 x 7 x 1297

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

LCM = 329640332 = 2 x 2 x 7 x 29 x 313 x 1297

Step 4: Therefore, the least common multiple of 36308 and 36316 is 329640332.