Least Common Multiple of 6699 and 6705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6699 and 6705 the smallest integer that is 14972265 that is divisible by both numbers.

Least Common Multiple (LCM) of 6699 and 6705 is 14972265.

LCM(6699,6705) = 14972265

LCM of 6699 and 6705

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

LCM of:
and

Least Common Multiple of 6699 and 6705

LCM of 6699 and 6705 is 14972265

Least common multiple can be found by multiplying the highest exponent prime factors of 6699 and 6705. First we will calculate the prime factors of 6699 and 6705.

Prime Factorization of 6699


3 6699
7 2233
11 319
29 29
1

Prime factors of 6699 are 3, 7, 11,29. Prime factorization of 6699 in exponential form is:

6699 = 31×71×111×291

Prime Factorization of 6705


3 6705
3 2235
5 745
149 149
1

Prime factors of 6705 are 3, 5,149. Prime factorization of 6705 in exponential form is:

6705 = 32×51×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 6699 and 6705.

LCM(6699,6705) = 32×51×71×111×291×1491
LCM(6699,6705) = 14972265

Factors of 6699

List of positive integer factors of 6699 that divides 6699 without a remainder.

1, 3, 7, 11, 21, 29, 33, 77, 87, 203, 231, 319, 609, 957, 2233, 6699

Factors of 6705

List of positive integer factors of 6705 that divides 6705 without a remainder.

1, 3, 5, 9, 15, 45, 149, 447, 745, 1341, 2235, 6705

Least Common Multiple of 6699 and 6705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6699 and 6705, than apply into the LCM equation.

GCF(6699,6705) = 3
LCM(6699,6705) = ( 6699 × 6705) / 3
LCM(6699,6705) = 44916795 / 3
LCM(6699,6705) = 14972265

Properties of LCM 6699 and 6705

(i) The LCM of 6705 and 6699 is associative

LCM of 6699 and 6705 = LCM of 6705 and 6699

Related Least Common Multiples of 6699

Related Least Common Multiples of 6705

Frequently Asked Questions on LCM of 6699 and 6705

1. What is the LCM of 6699 and 6705?

Answer: LCM of 6699 and 6705 is 14972265.

2. What are the Factors of 6699?

Answer: Factors of 6699 are 1, 3, 7, 11, 21, 29, 33, 77, 87, 203, 231, 319, 609, 957, 2233, 6699. There are 16 integers that are factors of 6699. The greatest factor of 6699 is 6699.

3. What are the Factors of 6705?

Answer: Factors of 6705 are 1, 3, 5, 9, 15, 45, 149, 447, 745, 1341, 2235, 6705. There are 12 integers that are factors of 6705. The greatest factor of 6705 is 6705.

4. How to Find the LCM of 6699 and 6705?

Answer:

Least Common Multiple of 6699 and 6705 = 14972265

Step 1: Find the prime factorization of 6699

6699 = 3 x 7 x 11 x 29

Step 2: Find the prime factorization of 6705

6705 = 3 x 3 x 5 x 149

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

LCM = 14972265 = 3 x 3 x 5 x 7 x 11 x 29 x 149

Step 4: Therefore, the least common multiple of 6699 and 6705 is 14972265.