Least Common Multiple of 6702 and 6710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6702 and 6710 the smallest integer that is 22485210 that is divisible by both numbers.

Least Common Multiple (LCM) of 6702 and 6710 is 22485210.

LCM(6702,6710) = 22485210

LCM of 6702 and 6710

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

LCM of:
and

Least Common Multiple of 6702 and 6710

LCM of 6702 and 6710 is 22485210

Least common multiple can be found by multiplying the highest exponent prime factors of 6702 and 6710. First we will calculate the prime factors of 6702 and 6710.

Prime Factorization of 6702


2 6702
3 3351
1117 1117
1

Prime factors of 6702 are 2, 3,1117. Prime factorization of 6702 in exponential form is:

6702 = 21×31×11171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6702 and 6710.

LCM(6702,6710) = 21×31×51×111×611×11171
LCM(6702,6710) = 22485210

Factors of 6702

List of positive integer factors of 6702 that divides 6702 without a remainder.

1, 2, 3, 6, 1117, 2234, 3351, 6702

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

Least Common Multiple of 6702 and 6710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6702 and 6710, than apply into the LCM equation.

GCF(6702,6710) = 2
LCM(6702,6710) = ( 6702 × 6710) / 2
LCM(6702,6710) = 44970420 / 2
LCM(6702,6710) = 22485210

Properties of LCM 6702 and 6710

(i) The LCM of 6710 and 6702 is associative

LCM of 6702 and 6710 = LCM of 6710 and 6702

Related Least Common Multiples of 6702

Related Least Common Multiples of 6710

Frequently Asked Questions on LCM of 6702 and 6710

1. What is the LCM of 6702 and 6710?

Answer: LCM of 6702 and 6710 is 22485210.

2. What are the Factors of 6702?

Answer: Factors of 6702 are 1, 2, 3, 6, 1117, 2234, 3351, 6702. There are 8 integers that are factors of 6702. The greatest factor of 6702 is 6702.

3. 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.

4. How to Find the LCM of 6702 and 6710?

Answer:

Least Common Multiple of 6702 and 6710 = 22485210

Step 1: Find the prime factorization of 6702

6702 = 2 x 3 x 1117

Step 2: Find the prime factorization of 6710

6710 = 2 x 5 x 11 x 61

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

LCM = 22485210 = 2 x 3 x 5 x 11 x 61 x 1117

Step 4: Therefore, the least common multiple of 6702 and 6710 is 22485210.