Least Common Multiple of 6692 and 6699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6692 and 6699 the smallest integer that is 6404244 that is divisible by both numbers.

Least Common Multiple (LCM) of 6692 and 6699 is 6404244.

LCM(6692,6699) = 6404244

LCM of 6692 and 6699

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

LCM of:
and

Least Common Multiple of 6692 and 6699

LCM of 6692 and 6699 is 6404244

Least common multiple can be found by multiplying the highest exponent prime factors of 6692 and 6699. First we will calculate the prime factors of 6692 and 6699.

Prime Factorization of 6692


2 6692
2 3346
7 1673
239 239
1

Prime factors of 6692 are 2, 7,239. Prime factorization of 6692 in exponential form is:

6692 = 22×71×2391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6692 and 6699.

LCM(6692,6699) = 22×31×71×111×291×2391
LCM(6692,6699) = 6404244

Factors of 6692

List of positive integer factors of 6692 that divides 6692 without a remainder.

1, 2, 4, 7, 14, 28, 239, 478, 956, 1673, 3346, 6692

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

Least Common Multiple of 6692 and 6699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6692 and 6699, than apply into the LCM equation.

GCF(6692,6699) = 7
LCM(6692,6699) = ( 6692 × 6699) / 7
LCM(6692,6699) = 44829708 / 7
LCM(6692,6699) = 6404244

Properties of LCM 6692 and 6699

(i) The LCM of 6699 and 6692 is associative

LCM of 6692 and 6699 = LCM of 6699 and 6692

Related Least Common Multiples of 6692

Related Least Common Multiples of 6699

Frequently Asked Questions on LCM of 6692 and 6699

1. What is the LCM of 6692 and 6699?

Answer: LCM of 6692 and 6699 is 6404244.

2. What are the Factors of 6692?

Answer: Factors of 6692 are 1, 2, 4, 7, 14, 28, 239, 478, 956, 1673, 3346, 6692. There are 12 integers that are factors of 6692. The greatest factor of 6692 is 6692.

3. 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.

4. How to Find the LCM of 6692 and 6699?

Answer:

Least Common Multiple of 6692 and 6699 = 6404244

Step 1: Find the prime factorization of 6692

6692 = 2 x 2 x 7 x 239

Step 2: Find the prime factorization of 6699

6699 = 3 x 7 x 11 x 29

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

LCM = 6404244 = 2 x 2 x 3 x 7 x 11 x 29 x 239

Step 4: Therefore, the least common multiple of 6692 and 6699 is 6404244.