Least Common Multiple of 8332 and 8337

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8332 and 8337 the smallest integer that is 69463884 that is divisible by both numbers.

Least Common Multiple (LCM) of 8332 and 8337 is 69463884.

LCM(8332,8337) = 69463884

LCM of 8332 and 8337

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

LCM of:
and

Least Common Multiple of 8332 and 8337

LCM of 8332 and 8337 is 69463884

Least common multiple can be found by multiplying the highest exponent prime factors of 8332 and 8337. First we will calculate the prime factors of 8332 and 8337.

Prime Factorization of 8332


2 8332
2 4166
2083 2083
1

Prime factors of 8332 are 2,2083. Prime factorization of 8332 in exponential form is:

8332 = 22×20831

Prime Factorization of 8337


3 8337
7 2779
397 397
1

Prime factors of 8337 are 3, 7,397. Prime factorization of 8337 in exponential form is:

8337 = 31×71×3971

Now multiplying the highest exponent prime factors to calculate the LCM of 8332 and 8337.

LCM(8332,8337) = 22×31×71×3971×20831
LCM(8332,8337) = 69463884

Factors of 8332

List of positive integer factors of 8332 that divides 8332 without a remainder.

1, 2, 4, 2083, 4166, 8332

Factors of 8337

List of positive integer factors of 8337 that divides 8337 without a remainder.

1, 3, 7, 21, 397, 1191, 2779, 8337

Least Common Multiple of 8332 and 8337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8332 and 8337, than apply into the LCM equation.

GCF(8332,8337) = 1
LCM(8332,8337) = ( 8332 × 8337) / 1
LCM(8332,8337) = 69463884 / 1
LCM(8332,8337) = 69463884

Properties of LCM 8332 and 8337

(i) The LCM of 8337 and 8332 is associative

LCM of 8332 and 8337 = LCM of 8337 and 8332

Related Least Common Multiples of 8332

Related Least Common Multiples of 8337

Frequently Asked Questions on LCM of 8332 and 8337

1. What is the LCM of 8332 and 8337?

Answer: LCM of 8332 and 8337 is 69463884.

2. What are the Factors of 8332?

Answer: Factors of 8332 are 1, 2, 4, 2083, 4166, 8332. There are 6 integers that are factors of 8332. The greatest factor of 8332 is 8332.

3. What are the Factors of 8337?

Answer: Factors of 8337 are 1, 3, 7, 21, 397, 1191, 2779, 8337. There are 8 integers that are factors of 8337. The greatest factor of 8337 is 8337.

4. How to Find the LCM of 8332 and 8337?

Answer:

Least Common Multiple of 8332 and 8337 = 69463884

Step 1: Find the prime factorization of 8332

8332 = 2 x 2 x 2083

Step 2: Find the prime factorization of 8337

8337 = 3 x 7 x 397

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

LCM = 69463884 = 2 x 2 x 3 x 7 x 397 x 2083

Step 4: Therefore, the least common multiple of 8332 and 8337 is 69463884.