Least Common Multiple of 6710 and 6714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6710 and 6714 the smallest integer that is 22525470 that is divisible by both numbers.

Least Common Multiple (LCM) of 6710 and 6714 is 22525470.

LCM(6710,6714) = 22525470

LCM of 6710 and 6714

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

LCM of:
and

Least Common Multiple of 6710 and 6714

LCM of 6710 and 6714 is 22525470

Least common multiple can be found by multiplying the highest exponent prime factors of 6710 and 6714. First we will calculate the prime factors of 6710 and 6714.

Prime Factorization of 6710


2 6710
5 3355
11 671
61 61
1

Prime factors of 6710 are 2, 5, 11,61. Prime factorization of 6710 in exponential form is:

6710 = 21×51×111×611

Prime Factorization of 6714


2 6714
3 3357
3 1119
373 373
1

Prime factors of 6714 are 2, 3,373. Prime factorization of 6714 in exponential form is:

6714 = 21×32×3731

Now multiplying the highest exponent prime factors to calculate the LCM of 6710 and 6714.

LCM(6710,6714) = 21×32×51×111×611×3731
LCM(6710,6714) = 22525470

Factors of 6710

List of positive integer factors of 6710 that divides 6710 without a remainder.

1, 2, 5, 10, 11, 22, 55, 61, 110, 122, 305, 610, 671, 1342, 3355, 6710

Factors of 6714

List of positive integer factors of 6714 that divides 6714 without a remainder.

1, 2, 3, 6, 9, 18, 373, 746, 1119, 2238, 3357, 6714

Least Common Multiple of 6710 and 6714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6710 and 6714, than apply into the LCM equation.

GCF(6710,6714) = 2
LCM(6710,6714) = ( 6710 × 6714) / 2
LCM(6710,6714) = 45050940 / 2
LCM(6710,6714) = 22525470

Properties of LCM 6710 and 6714

(i) The LCM of 6714 and 6710 is associative

LCM of 6710 and 6714 = LCM of 6714 and 6710

Related Least Common Multiples of 6710

Related Least Common Multiples of 6714

Frequently Asked Questions on LCM of 6710 and 6714

1. What is the LCM of 6710 and 6714?

Answer: LCM of 6710 and 6714 is 22525470.

2. What are the Factors of 6710?

Answer: Factors of 6710 are 1, 2, 5, 10, 11, 22, 55, 61, 110, 122, 305, 610, 671, 1342, 3355, 6710. There are 16 integers that are factors of 6710. The greatest factor of 6710 is 6710.

3. What are the Factors of 6714?

Answer: Factors of 6714 are 1, 2, 3, 6, 9, 18, 373, 746, 1119, 2238, 3357, 6714. There are 12 integers that are factors of 6714. The greatest factor of 6714 is 6714.

4. How to Find the LCM of 6710 and 6714?

Answer:

Least Common Multiple of 6710 and 6714 = 22525470

Step 1: Find the prime factorization of 6710

6710 = 2 x 5 x 11 x 61

Step 2: Find the prime factorization of 6714

6714 = 2 x 3 x 3 x 373

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

LCM = 22525470 = 2 x 3 x 3 x 5 x 11 x 61 x 373

Step 4: Therefore, the least common multiple of 6710 and 6714 is 22525470.