Least Common Multiple of 6697 and 6702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6697 and 6702 the smallest integer that is 44883294 that is divisible by both numbers.

Least Common Multiple (LCM) of 6697 and 6702 is 44883294.

LCM(6697,6702) = 44883294

LCM of 6697 and 6702

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

LCM of:
and

Least Common Multiple of 6697 and 6702

LCM of 6697 and 6702 is 44883294

Least common multiple can be found by multiplying the highest exponent prime factors of 6697 and 6702. First we will calculate the prime factors of 6697 and 6702.

Prime Factorization of 6697


37 6697
181 181
1

Prime factors of 6697 are 37,181. Prime factorization of 6697 in exponential form is:

6697 = 371×1811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6697 and 6702.

LCM(6697,6702) = 21×31×371×1811×11171
LCM(6697,6702) = 44883294

Factors of 6697

List of positive integer factors of 6697 that divides 6697 without a remainder.

1, 37, 181, 6697

Factors of 6702

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

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

Least Common Multiple of 6697 and 6702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6697 and 6702, than apply into the LCM equation.

GCF(6697,6702) = 1
LCM(6697,6702) = ( 6697 × 6702) / 1
LCM(6697,6702) = 44883294 / 1
LCM(6697,6702) = 44883294

Properties of LCM 6697 and 6702

(i) The LCM of 6702 and 6697 is associative

LCM of 6697 and 6702 = LCM of 6702 and 6697

Related Least Common Multiples of 6697

Related Least Common Multiples of 6702

Frequently Asked Questions on LCM of 6697 and 6702

1. What is the LCM of 6697 and 6702?

Answer: LCM of 6697 and 6702 is 44883294.

2. What are the Factors of 6697?

Answer: Factors of 6697 are 1, 37, 181, 6697. There are 4 integers that are factors of 6697. The greatest factor of 6697 is 6697.

3. 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.

4. How to Find the LCM of 6697 and 6702?

Answer:

Least Common Multiple of 6697 and 6702 = 44883294

Step 1: Find the prime factorization of 6697

6697 = 37 x 181

Step 2: Find the prime factorization of 6702

6702 = 2 x 3 x 1117

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

LCM = 44883294 = 2 x 3 x 37 x 181 x 1117

Step 4: Therefore, the least common multiple of 6697 and 6702 is 44883294.