Least Common Multiple of 8377 and 8383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8377 and 8383 the smallest integer that is 70224391 that is divisible by both numbers.

Least Common Multiple (LCM) of 8377 and 8383 is 70224391.

LCM(8377,8383) = 70224391

LCM of 8377 and 8383

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

LCM of:
and

Least Common Multiple of 8377 and 8383

LCM of 8377 and 8383 is 70224391

Least common multiple can be found by multiplying the highest exponent prime factors of 8377 and 8383. First we will calculate the prime factors of 8377 and 8383.

Prime Factorization of 8377


8377 8377
1

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

8377 = 83771

Prime Factorization of 8383


83 8383
101 101
1

Prime factors of 8383 are 83,101. Prime factorization of 8383 in exponential form is:

8383 = 831×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 8377 and 8383.

LCM(8377,8383) = 831×1011×83771
LCM(8377,8383) = 70224391

Factors of 8377

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

1, 8377

Factors of 8383

List of positive integer factors of 8383 that divides 8383 without a remainder.

1, 83, 101, 8383

Least Common Multiple of 8377 and 8383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8377 and 8383, than apply into the LCM equation.

GCF(8377,8383) = 1
LCM(8377,8383) = ( 8377 × 8383) / 1
LCM(8377,8383) = 70224391 / 1
LCM(8377,8383) = 70224391

Properties of LCM 8377 and 8383

(i) The LCM of 8383 and 8377 is associative

LCM of 8377 and 8383 = LCM of 8383 and 8377

Related Least Common Multiples of 8377

Related Least Common Multiples of 8383

Frequently Asked Questions on LCM of 8377 and 8383

1. What is the LCM of 8377 and 8383?

Answer: LCM of 8377 and 8383 is 70224391.

2. 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.

3. What are the Factors of 8383?

Answer: Factors of 8383 are 1, 83, 101, 8383. There are 4 integers that are factors of 8383. The greatest factor of 8383 is 8383.

4. How to Find the LCM of 8377 and 8383?

Answer:

Least Common Multiple of 8377 and 8383 = 70224391

Step 1: Find the prime factorization of 8377

8377 = 8377

Step 2: Find the prime factorization of 8383

8383 = 83 x 101

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

LCM = 70224391 = 83 x 101 x 8377

Step 4: Therefore, the least common multiple of 8377 and 8383 is 70224391.