Least Common Multiple of 36307 and 36313

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 36313 the smallest integer that is 1318416091 that is divisible by both numbers.

Least Common Multiple (LCM) of 36307 and 36313 is 1318416091.

LCM(36307,36313) = 1318416091

LCM of 36307 and 36313

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

LCM of:
and

Least Common Multiple of 36307 and 36313

LCM of 36307 and 36313 is 1318416091

Least common multiple can be found by multiplying the highest exponent prime factors of 36307 and 36313. First we will calculate the prime factors of 36307 and 36313.

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 36313


36313 36313
1

Prime factors of 36313 are 36313. Prime factorization of 36313 in exponential form is:

36313 = 363131

Now multiplying the highest exponent prime factors to calculate the LCM of 36307 and 36313.

LCM(36307,36313) = 363071×363131
LCM(36307,36313) = 1318416091

Factors of 36307

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

1, 36307

Factors of 36313

List of positive integer factors of 36313 that divides 36313 without a remainder.

1, 36313

Least Common Multiple of 36307 and 36313 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 36313, than apply into the LCM equation.

GCF(36307,36313) = 1
LCM(36307,36313) = ( 36307 × 36313) / 1
LCM(36307,36313) = 1318416091 / 1
LCM(36307,36313) = 1318416091

Properties of LCM 36307 and 36313

(i) The LCM of 36313 and 36307 is associative

LCM of 36307 and 36313 = LCM of 36313 and 36307

Related Least Common Multiples of 36307

Related Least Common Multiples of 36313

Frequently Asked Questions on LCM of 36307 and 36313

1. What is the LCM of 36307 and 36313?

Answer: LCM of 36307 and 36313 is 1318416091.

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 36313?

Answer: Factors of 36313 are 1, 36313. There are 2 integers that are factors of 36313. The greatest factor of 36313 is 36313.

4. How to Find the LCM of 36307 and 36313?

Answer:

Least Common Multiple of 36307 and 36313 = 1318416091

Step 1: Find the prime factorization of 36307

36307 = 36307

Step 2: Find the prime factorization of 36313

36313 = 36313

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

LCM = 1318416091 = 36307 x 36313

Step 4: Therefore, the least common multiple of 36307 and 36313 is 1318416091.