Least Common Multiple of 6696 and 6703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6696 and 6703 the smallest integer that is 44883288 that is divisible by both numbers.

Least Common Multiple (LCM) of 6696 and 6703 is 44883288.

LCM(6696,6703) = 44883288

LCM of 6696 and 6703

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

LCM of:
and

Least Common Multiple of 6696 and 6703

LCM of 6696 and 6703 is 44883288

Least common multiple can be found by multiplying the highest exponent prime factors of 6696 and 6703. First we will calculate the prime factors of 6696 and 6703.

Prime Factorization of 6696


2 6696
2 3348
2 1674
3 837
3 279
3 93
31 31
1

Prime factors of 6696 are 2, 3,31. Prime factorization of 6696 in exponential form is:

6696 = 23×33×311

Prime Factorization of 6703


6703 6703
1

Prime factors of 6703 are 6703. Prime factorization of 6703 in exponential form is:

6703 = 67031

Now multiplying the highest exponent prime factors to calculate the LCM of 6696 and 6703.

LCM(6696,6703) = 23×33×311×67031
LCM(6696,6703) = 44883288

Factors of 6696

List of positive integer factors of 6696 that divides 6696 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 31, 36, 54, 62, 72, 93, 108, 124, 186, 216, 248, 279, 372, 558, 744, 837, 1116, 1674, 2232, 3348, 6696

Factors of 6703

List of positive integer factors of 6703 that divides 6703 without a remainder.

1, 6703

Least Common Multiple of 6696 and 6703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6696 and 6703, than apply into the LCM equation.

GCF(6696,6703) = 1
LCM(6696,6703) = ( 6696 × 6703) / 1
LCM(6696,6703) = 44883288 / 1
LCM(6696,6703) = 44883288

Properties of LCM 6696 and 6703

(i) The LCM of 6703 and 6696 is associative

LCM of 6696 and 6703 = LCM of 6703 and 6696

Related Least Common Multiples of 6696

Related Least Common Multiples of 6703

Frequently Asked Questions on LCM of 6696 and 6703

1. What is the LCM of 6696 and 6703?

Answer: LCM of 6696 and 6703 is 44883288.

2. What are the Factors of 6696?

Answer: Factors of 6696 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 31, 36, 54, 62, 72, 93, 108, 124, 186, 216, 248, 279, 372, 558, 744, 837, 1116, 1674, 2232, 3348, 6696. There are 32 integers that are factors of 6696. The greatest factor of 6696 is 6696.

3. What are the Factors of 6703?

Answer: Factors of 6703 are 1, 6703. There are 2 integers that are factors of 6703. The greatest factor of 6703 is 6703.

4. How to Find the LCM of 6696 and 6703?

Answer:

Least Common Multiple of 6696 and 6703 = 44883288

Step 1: Find the prime factorization of 6696

6696 = 2 x 2 x 2 x 3 x 3 x 3 x 31

Step 2: Find the prime factorization of 6703

6703 = 6703

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

LCM = 44883288 = 2 x 2 x 2 x 3 x 3 x 3 x 31 x 6703

Step 4: Therefore, the least common multiple of 6696 and 6703 is 44883288.