Least Common Multiple of 8369 and 8377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8369 and 8377 the smallest integer that is 70107113 that is divisible by both numbers.

Least Common Multiple (LCM) of 8369 and 8377 is 70107113.

LCM(8369,8377) = 70107113

LCM of 8369 and 8377

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

LCM of:
and

Least Common Multiple of 8369 and 8377

LCM of 8369 and 8377 is 70107113

Least common multiple can be found by multiplying the highest exponent prime factors of 8369 and 8377. First we will calculate the prime factors of 8369 and 8377.

Prime Factorization of 8369


8369 8369
1

Prime factors of 8369 are 8369. Prime factorization of 8369 in exponential form is:

8369 = 83691

Prime Factorization of 8377


8377 8377
1

Prime factors of 8377 are 8377. Prime factorization of 8377 in exponential form is:

8377 = 83771

Now multiplying the highest exponent prime factors to calculate the LCM of 8369 and 8377.

LCM(8369,8377) = 83691×83771
LCM(8369,8377) = 70107113

Factors of 8369

List of positive integer factors of 8369 that divides 8369 without a remainder.

1, 8369

Factors of 8377

List of positive integer factors of 8377 that divides 8377 without a remainder.

1, 8377

Least Common Multiple of 8369 and 8377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8369 and 8377, than apply into the LCM equation.

GCF(8369,8377) = 1
LCM(8369,8377) = ( 8369 × 8377) / 1
LCM(8369,8377) = 70107113 / 1
LCM(8369,8377) = 70107113

Properties of LCM 8369 and 8377

(i) The LCM of 8377 and 8369 is associative

LCM of 8369 and 8377 = LCM of 8377 and 8369

Related Least Common Multiples of 8369

Related Least Common Multiples of 8377

Frequently Asked Questions on LCM of 8369 and 8377

1. What is the LCM of 8369 and 8377?

Answer: LCM of 8369 and 8377 is 70107113.

2. What are the Factors of 8369?

Answer: Factors of 8369 are 1, 8369. There are 2 integers that are factors of 8369. The greatest factor of 8369 is 8369.

3. What are the Factors of 8377?

Answer: Factors of 8377 are 1, 8377. There are 2 integers that are factors of 8377. The greatest factor of 8377 is 8377.

4. How to Find the LCM of 8369 and 8377?

Answer:

Least Common Multiple of 8369 and 8377 = 70107113

Step 1: Find the prime factorization of 8369

8369 = 8369

Step 2: Find the prime factorization of 8377

8377 = 8377

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

LCM = 70107113 = 8369 x 8377

Step 4: Therefore, the least common multiple of 8369 and 8377 is 70107113.