Least Common Multiple of 36307 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 36307 and 36311 the smallest integer that is 1318343477 that is divisible by both numbers.

Least Common Multiple (LCM) of 36307 and 36311 is 1318343477.

LCM(36307,36311) = 1318343477

LCM of 36307 and 36311

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

LCM of:
and

Least Common Multiple of 36307 and 36311

LCM of 36307 and 36311 is 1318343477

Least common multiple can be found by multiplying the highest exponent prime factors of 36307 and 36311. First we will calculate the prime factors of 36307 and 36311.

Prime Factorization of 36307


36307 36307
1

Prime factors of 36307 are 36307. Prime factorization of 36307 in exponential form is:

36307 = 363071

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 36307 and 36311.

LCM(36307,36311) = 111×33011×363071
LCM(36307,36311) = 1318343477

Factors of 36307

List of positive integer factors of 36307 that divides 36307 without a remainder.

1, 36307

Factors of 36311

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

1, 11, 3301, 36311

Least Common Multiple of 36307 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 36307 and 36311, than apply into the LCM equation.

GCF(36307,36311) = 1
LCM(36307,36311) = ( 36307 × 36311) / 1
LCM(36307,36311) = 1318343477 / 1
LCM(36307,36311) = 1318343477

Properties of LCM 36307 and 36311

(i) The LCM of 36311 and 36307 is associative

LCM of 36307 and 36311 = LCM of 36311 and 36307

Related Least Common Multiples of 36307

Related Least Common Multiples of 36311

Frequently Asked Questions on LCM of 36307 and 36311

1. What is the LCM of 36307 and 36311?

Answer: LCM of 36307 and 36311 is 1318343477.

2. What are the Factors of 36307?

Answer: Factors of 36307 are 1, 36307. There are 2 integers that are factors of 36307. The greatest factor of 36307 is 36307.

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 36307 and 36311?

Answer:

Least Common Multiple of 36307 and 36311 = 1318343477

Step 1: Find the prime factorization of 36307

36307 = 36307

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 = 1318343477 = 11 x 3301 x 36307

Step 4: Therefore, the least common multiple of 36307 and 36311 is 1318343477.