Least Common Multiple of 6692 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 6692 and 6698 the smallest integer that is 22411508 that is divisible by both numbers.

Least Common Multiple (LCM) of 6692 and 6698 is 22411508.

LCM(6692,6698) = 22411508

LCM of 6692 and 6698

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

LCM of:
and

Least Common Multiple of 6692 and 6698

LCM of 6692 and 6698 is 22411508

Least common multiple can be found by multiplying the highest exponent prime factors of 6692 and 6698. First we will calculate the prime factors of 6692 and 6698.

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 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 6692 and 6698.

LCM(6692,6698) = 22×71×171×1971×2391
LCM(6692,6698) = 22411508

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 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 6692 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 6692 and 6698, than apply into the LCM equation.

GCF(6692,6698) = 2
LCM(6692,6698) = ( 6692 × 6698) / 2
LCM(6692,6698) = 44823016 / 2
LCM(6692,6698) = 22411508

Properties of LCM 6692 and 6698

(i) The LCM of 6698 and 6692 is associative

LCM of 6692 and 6698 = LCM of 6698 and 6692

Related Least Common Multiples of 6692

Related Least Common Multiples of 6698

Frequently Asked Questions on LCM of 6692 and 6698

1. What is the LCM of 6692 and 6698?

Answer: LCM of 6692 and 6698 is 22411508.

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 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 6692 and 6698?

Answer:

Least Common Multiple of 6692 and 6698 = 22411508

Step 1: Find the prime factorization of 6692

6692 = 2 x 2 x 7 x 239

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 = 22411508 = 2 x 2 x 7 x 17 x 197 x 239

Step 4: Therefore, the least common multiple of 6692 and 6698 is 22411508.