Least Common Multiple of 8340 and 8347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8340 and 8347 the smallest integer that is 69613980 that is divisible by both numbers.

Least Common Multiple (LCM) of 8340 and 8347 is 69613980.

LCM(8340,8347) = 69613980

LCM of 8340 and 8347

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

LCM of:
and

Least Common Multiple of 8340 and 8347

LCM of 8340 and 8347 is 69613980

Least common multiple can be found by multiplying the highest exponent prime factors of 8340 and 8347. First we will calculate the prime factors of 8340 and 8347.

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

Prime Factorization of 8347


17 8347
491 491
1

Prime factors of 8347 are 17,491. Prime factorization of 8347 in exponential form is:

8347 = 171×4911

Now multiplying the highest exponent prime factors to calculate the LCM of 8340 and 8347.

LCM(8340,8347) = 22×31×51×171×1391×4911
LCM(8340,8347) = 69613980

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

Factors of 8347

List of positive integer factors of 8347 that divides 8347 without a remainder.

1, 17, 491, 8347

Least Common Multiple of 8340 and 8347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8340 and 8347, than apply into the LCM equation.

GCF(8340,8347) = 1
LCM(8340,8347) = ( 8340 × 8347) / 1
LCM(8340,8347) = 69613980 / 1
LCM(8340,8347) = 69613980

Properties of LCM 8340 and 8347

(i) The LCM of 8347 and 8340 is associative

LCM of 8340 and 8347 = LCM of 8347 and 8340

Related Least Common Multiples of 8340

Related Least Common Multiples of 8347

Frequently Asked Questions on LCM of 8340 and 8347

1. What is the LCM of 8340 and 8347?

Answer: LCM of 8340 and 8347 is 69613980.

2. 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.

3. What are the Factors of 8347?

Answer: Factors of 8347 are 1, 17, 491, 8347. There are 4 integers that are factors of 8347. The greatest factor of 8347 is 8347.

4. How to Find the LCM of 8340 and 8347?

Answer:

Least Common Multiple of 8340 and 8347 = 69613980

Step 1: Find the prime factorization of 8340

8340 = 2 x 2 x 3 x 5 x 139

Step 2: Find the prime factorization of 8347

8347 = 17 x 491

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

LCM = 69613980 = 2 x 2 x 3 x 5 x 17 x 139 x 491

Step 4: Therefore, the least common multiple of 8340 and 8347 is 69613980.