Least Common Multiple of 8371 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 8371 and 8377 the smallest integer that is 70123867 that is divisible by both numbers.

Least Common Multiple (LCM) of 8371 and 8377 is 70123867.

LCM(8371,8377) = 70123867

LCM of 8371 and 8377

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

LCM of:
and

Least Common Multiple of 8371 and 8377

LCM of 8371 and 8377 is 70123867

Least common multiple can be found by multiplying the highest exponent prime factors of 8371 and 8377. First we will calculate the prime factors of 8371 and 8377.

Prime Factorization of 8371


11 8371
761 761
1

Prime factors of 8371 are 11,761. Prime factorization of 8371 in exponential form is:

8371 = 111×7611

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 8371 and 8377.

LCM(8371,8377) = 111×7611×83771
LCM(8371,8377) = 70123867

Factors of 8371

List of positive integer factors of 8371 that divides 8371 without a remainder.

1, 11, 761, 8371

Factors of 8377

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

1, 8377

Least Common Multiple of 8371 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 8371 and 8377, than apply into the LCM equation.

GCF(8371,8377) = 1
LCM(8371,8377) = ( 8371 × 8377) / 1
LCM(8371,8377) = 70123867 / 1
LCM(8371,8377) = 70123867

Properties of LCM 8371 and 8377

(i) The LCM of 8377 and 8371 is associative

LCM of 8371 and 8377 = LCM of 8377 and 8371

Related Least Common Multiples of 8371

Related Least Common Multiples of 8377

Frequently Asked Questions on LCM of 8371 and 8377

1. What is the LCM of 8371 and 8377?

Answer: LCM of 8371 and 8377 is 70123867.

2. What are the Factors of 8371?

Answer: Factors of 8371 are 1, 11, 761, 8371. There are 4 integers that are factors of 8371. The greatest factor of 8371 is 8371.

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 8371 and 8377?

Answer:

Least Common Multiple of 8371 and 8377 = 70123867

Step 1: Find the prime factorization of 8371

8371 = 11 x 761

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 = 70123867 = 11 x 761 x 8377

Step 4: Therefore, the least common multiple of 8371 and 8377 is 70123867.