Least Common Multiple of 6690 and 6698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6690 and 6698 the smallest integer that is 22404810 that is divisible by both numbers.

Least Common Multiple (LCM) of 6690 and 6698 is 22404810.

LCM(6690,6698) = 22404810

LCM of 6690 and 6698

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

LCM of:
and

Least Common Multiple of 6690 and 6698

LCM of 6690 and 6698 is 22404810

Least common multiple can be found by multiplying the highest exponent prime factors of 6690 and 6698. First we will calculate the prime factors of 6690 and 6698.

Prime Factorization of 6690


2 6690
3 3345
5 1115
223 223
1

Prime factors of 6690 are 2, 3, 5,223. Prime factorization of 6690 in exponential form is:

6690 = 21×31×51×2231

Prime Factorization of 6698


2 6698
17 3349
197 197
1

Prime factors of 6698 are 2, 17,197. Prime factorization of 6698 in exponential form is:

6698 = 21×171×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 6690 and 6698.

LCM(6690,6698) = 21×31×51×171×1971×2231
LCM(6690,6698) = 22404810

Factors of 6690

List of positive integer factors of 6690 that divides 6690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 223, 446, 669, 1115, 1338, 2230, 3345, 6690

Factors of 6698

List of positive integer factors of 6698 that divides 6698 without a remainder.

1, 2, 17, 34, 197, 394, 3349, 6698

Least Common Multiple of 6690 and 6698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6690 and 6698, than apply into the LCM equation.

GCF(6690,6698) = 2
LCM(6690,6698) = ( 6690 × 6698) / 2
LCM(6690,6698) = 44809620 / 2
LCM(6690,6698) = 22404810

Properties of LCM 6690 and 6698

(i) The LCM of 6698 and 6690 is associative

LCM of 6690 and 6698 = LCM of 6698 and 6690

Related Least Common Multiples of 6690

Related Least Common Multiples of 6698

Frequently Asked Questions on LCM of 6690 and 6698

1. What is the LCM of 6690 and 6698?

Answer: LCM of 6690 and 6698 is 22404810.

2. What are the Factors of 6690?

Answer: Factors of 6690 are 1, 2, 3, 5, 6, 10, 15, 30, 223, 446, 669, 1115, 1338, 2230, 3345, 6690. There are 16 integers that are factors of 6690. The greatest factor of 6690 is 6690.

3. What are the Factors of 6698?

Answer: Factors of 6698 are 1, 2, 17, 34, 197, 394, 3349, 6698. There are 8 integers that are factors of 6698. The greatest factor of 6698 is 6698.

4. How to Find the LCM of 6690 and 6698?

Answer:

Least Common Multiple of 6690 and 6698 = 22404810

Step 1: Find the prime factorization of 6690

6690 = 2 x 3 x 5 x 223

Step 2: Find the prime factorization of 6698

6698 = 2 x 17 x 197

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

LCM = 22404810 = 2 x 3 x 5 x 17 x 197 x 223

Step 4: Therefore, the least common multiple of 6690 and 6698 is 22404810.