Least Common Multiple of 8332 and 8340

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 8340 the smallest integer that is 17372220 that is divisible by both numbers.

Least Common Multiple (LCM) of 8332 and 8340 is 17372220.

LCM(8332,8340) = 17372220

LCM of 8332 and 8340

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

LCM of:
and

Least Common Multiple of 8332 and 8340

LCM of 8332 and 8340 is 17372220

Least common multiple can be found by multiplying the highest exponent prime factors of 8332 and 8340. First we will calculate the prime factors of 8332 and 8340.

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 8340


2 8340
2 4170
3 2085
5 695
139 139
1

Prime factors of 8340 are 2, 3, 5,139. Prime factorization of 8340 in exponential form is:

8340 = 22×31×51×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 8332 and 8340.

LCM(8332,8340) = 22×31×51×1391×20831
LCM(8332,8340) = 17372220

Factors of 8332

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

1, 2, 4, 2083, 4166, 8332

Factors of 8340

List of positive integer factors of 8340 that divides 8340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 139, 278, 417, 556, 695, 834, 1390, 1668, 2085, 2780, 4170, 8340

Least Common Multiple of 8332 and 8340 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 8340, than apply into the LCM equation.

GCF(8332,8340) = 4
LCM(8332,8340) = ( 8332 × 8340) / 4
LCM(8332,8340) = 69488880 / 4
LCM(8332,8340) = 17372220

Properties of LCM 8332 and 8340

(i) The LCM of 8340 and 8332 is associative

LCM of 8332 and 8340 = LCM of 8340 and 8332

Related Least Common Multiples of 8332

Related Least Common Multiples of 8340

Frequently Asked Questions on LCM of 8332 and 8340

1. What is the LCM of 8332 and 8340?

Answer: LCM of 8332 and 8340 is 17372220.

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 8340?

Answer: Factors of 8340 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 139, 278, 417, 556, 695, 834, 1390, 1668, 2085, 2780, 4170, 8340. There are 24 integers that are factors of 8340. The greatest factor of 8340 is 8340.

4. How to Find the LCM of 8332 and 8340?

Answer:

Least Common Multiple of 8332 and 8340 = 17372220

Step 1: Find the prime factorization of 8332

8332 = 2 x 2 x 2083

Step 2: Find the prime factorization of 8340

8340 = 2 x 2 x 3 x 5 x 139

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

LCM = 17372220 = 2 x 2 x 3 x 5 x 139 x 2083

Step 4: Therefore, the least common multiple of 8332 and 8340 is 17372220.