Least Common Multiple of 36306 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 36306 and 36308 the smallest integer that is 659099124 that is divisible by both numbers.

Least Common Multiple (LCM) of 36306 and 36308 is 659099124.

LCM(36306,36308) = 659099124

LCM of 36306 and 36308

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

LCM of:
and

Least Common Multiple of 36306 and 36308

LCM of 36306 and 36308 is 659099124

Least common multiple can be found by multiplying the highest exponent prime factors of 36306 and 36308. First we will calculate the prime factors of 36306 and 36308.

Prime Factorization of 36306


2 36306
3 18153
3 6051
2017 2017
1

Prime factors of 36306 are 2, 3,2017. Prime factorization of 36306 in exponential form is:

36306 = 21×32×20171

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 36306 and 36308.

LCM(36306,36308) = 22×32×291×3131×20171
LCM(36306,36308) = 659099124

Factors of 36306

List of positive integer factors of 36306 that divides 36306 without a remainder.

1, 2, 3, 6, 9, 18, 2017, 4034, 6051, 12102, 18153, 36306

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 36306 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 36306 and 36308, than apply into the LCM equation.

GCF(36306,36308) = 2
LCM(36306,36308) = ( 36306 × 36308) / 2
LCM(36306,36308) = 1318198248 / 2
LCM(36306,36308) = 659099124

Properties of LCM 36306 and 36308

(i) The LCM of 36308 and 36306 is associative

LCM of 36306 and 36308 = LCM of 36308 and 36306

Related Least Common Multiples of 36306

Related Least Common Multiples of 36308

Frequently Asked Questions on LCM of 36306 and 36308

1. What is the LCM of 36306 and 36308?

Answer: LCM of 36306 and 36308 is 659099124.

2. What are the Factors of 36306?

Answer: Factors of 36306 are 1, 2, 3, 6, 9, 18, 2017, 4034, 6051, 12102, 18153, 36306. There are 12 integers that are factors of 36306. The greatest factor of 36306 is 36306.

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 36306 and 36308?

Answer:

Least Common Multiple of 36306 and 36308 = 659099124

Step 1: Find the prime factorization of 36306

36306 = 2 x 3 x 3 x 2017

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 = 659099124 = 2 x 2 x 3 x 3 x 29 x 313 x 2017

Step 4: Therefore, the least common multiple of 36306 and 36308 is 659099124.