Least Common Multiple of 6708 and 6715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6708 and 6715 the smallest integer that is 45044220 that is divisible by both numbers.

Least Common Multiple (LCM) of 6708 and 6715 is 45044220.

LCM(6708,6715) = 45044220

LCM of 6708 and 6715

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

LCM of:
and

Least Common Multiple of 6708 and 6715

LCM of 6708 and 6715 is 45044220

Least common multiple can be found by multiplying the highest exponent prime factors of 6708 and 6715. First we will calculate the prime factors of 6708 and 6715.

Prime Factorization of 6708


2 6708
2 3354
3 1677
13 559
43 43
1

Prime factors of 6708 are 2, 3, 13,43. Prime factorization of 6708 in exponential form is:

6708 = 22×31×131×431

Prime Factorization of 6715


5 6715
17 1343
79 79
1

Prime factors of 6715 are 5, 17,79. Prime factorization of 6715 in exponential form is:

6715 = 51×171×791

Now multiplying the highest exponent prime factors to calculate the LCM of 6708 and 6715.

LCM(6708,6715) = 22×31×51×131×171×431×791
LCM(6708,6715) = 45044220

Factors of 6708

List of positive integer factors of 6708 that divides 6708 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 43, 52, 78, 86, 129, 156, 172, 258, 516, 559, 1118, 1677, 2236, 3354, 6708

Factors of 6715

List of positive integer factors of 6715 that divides 6715 without a remainder.

1, 5, 17, 79, 85, 395, 1343, 6715

Least Common Multiple of 6708 and 6715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6708 and 6715, than apply into the LCM equation.

GCF(6708,6715) = 1
LCM(6708,6715) = ( 6708 × 6715) / 1
LCM(6708,6715) = 45044220 / 1
LCM(6708,6715) = 45044220

Properties of LCM 6708 and 6715

(i) The LCM of 6715 and 6708 is associative

LCM of 6708 and 6715 = LCM of 6715 and 6708

Related Least Common Multiples of 6708

Related Least Common Multiples of 6715

Frequently Asked Questions on LCM of 6708 and 6715

1. What is the LCM of 6708 and 6715?

Answer: LCM of 6708 and 6715 is 45044220.

2. What are the Factors of 6708?

Answer: Factors of 6708 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 43, 52, 78, 86, 129, 156, 172, 258, 516, 559, 1118, 1677, 2236, 3354, 6708. There are 24 integers that are factors of 6708. The greatest factor of 6708 is 6708.

3. What are the Factors of 6715?

Answer: Factors of 6715 are 1, 5, 17, 79, 85, 395, 1343, 6715. There are 8 integers that are factors of 6715. The greatest factor of 6715 is 6715.

4. How to Find the LCM of 6708 and 6715?

Answer:

Least Common Multiple of 6708 and 6715 = 45044220

Step 1: Find the prime factorization of 6708

6708 = 2 x 2 x 3 x 13 x 43

Step 2: Find the prime factorization of 6715

6715 = 5 x 17 x 79

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

LCM = 45044220 = 2 x 2 x 3 x 5 x 13 x 17 x 43 x 79

Step 4: Therefore, the least common multiple of 6708 and 6715 is 45044220.