Least Common Multiple of 8383 and 8391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8383 and 8391 the smallest integer that is 70341753 that is divisible by both numbers.

Least Common Multiple (LCM) of 8383 and 8391 is 70341753.

LCM(8383,8391) = 70341753

LCM of 8383 and 8391

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

LCM of:
and

Least Common Multiple of 8383 and 8391

LCM of 8383 and 8391 is 70341753

Least common multiple can be found by multiplying the highest exponent prime factors of 8383 and 8391. First we will calculate the prime factors of 8383 and 8391.

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

Prime Factorization of 8391


3 8391
2797 2797
1

Prime factors of 8391 are 3,2797. Prime factorization of 8391 in exponential form is:

8391 = 31×27971

Now multiplying the highest exponent prime factors to calculate the LCM of 8383 and 8391.

LCM(8383,8391) = 31×831×1011×27971
LCM(8383,8391) = 70341753

Factors of 8383

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

1, 83, 101, 8383

Factors of 8391

List of positive integer factors of 8391 that divides 8391 without a remainder.

1, 3, 2797, 8391

Least Common Multiple of 8383 and 8391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8383 and 8391, than apply into the LCM equation.

GCF(8383,8391) = 1
LCM(8383,8391) = ( 8383 × 8391) / 1
LCM(8383,8391) = 70341753 / 1
LCM(8383,8391) = 70341753

Properties of LCM 8383 and 8391

(i) The LCM of 8391 and 8383 is associative

LCM of 8383 and 8391 = LCM of 8391 and 8383

Related Least Common Multiples of 8383

Related Least Common Multiples of 8391

Frequently Asked Questions on LCM of 8383 and 8391

1. What is the LCM of 8383 and 8391?

Answer: LCM of 8383 and 8391 is 70341753.

2. 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.

3. What are the Factors of 8391?

Answer: Factors of 8391 are 1, 3, 2797, 8391. There are 4 integers that are factors of 8391. The greatest factor of 8391 is 8391.

4. How to Find the LCM of 8383 and 8391?

Answer:

Least Common Multiple of 8383 and 8391 = 70341753

Step 1: Find the prime factorization of 8383

8383 = 83 x 101

Step 2: Find the prime factorization of 8391

8391 = 3 x 2797

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

LCM = 70341753 = 3 x 83 x 101 x 2797

Step 4: Therefore, the least common multiple of 8383 and 8391 is 70341753.