Least Common Multiple of 6698 and 6700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6698 and 6700 the smallest integer that is 22438300 that is divisible by both numbers.

Least Common Multiple (LCM) of 6698 and 6700 is 22438300.

LCM(6698,6700) = 22438300

LCM of 6698 and 6700

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

LCM of:
and

Least Common Multiple of 6698 and 6700

LCM of 6698 and 6700 is 22438300

Least common multiple can be found by multiplying the highest exponent prime factors of 6698 and 6700. First we will calculate the prime factors of 6698 and 6700.

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

Prime Factorization of 6700


2 6700
2 3350
5 1675
5 335
67 67
1

Prime factors of 6700 are 2, 5,67. Prime factorization of 6700 in exponential form is:

6700 = 22×52×671

Now multiplying the highest exponent prime factors to calculate the LCM of 6698 and 6700.

LCM(6698,6700) = 22×52×171×671×1971
LCM(6698,6700) = 22438300

Factors of 6698

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

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

Factors of 6700

List of positive integer factors of 6700 that divides 6700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 67, 100, 134, 268, 335, 670, 1340, 1675, 3350, 6700

Least Common Multiple of 6698 and 6700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6698 and 6700, than apply into the LCM equation.

GCF(6698,6700) = 2
LCM(6698,6700) = ( 6698 × 6700) / 2
LCM(6698,6700) = 44876600 / 2
LCM(6698,6700) = 22438300

Properties of LCM 6698 and 6700

(i) The LCM of 6700 and 6698 is associative

LCM of 6698 and 6700 = LCM of 6700 and 6698

Related Least Common Multiples of 6698

Related Least Common Multiples of 6700

Frequently Asked Questions on LCM of 6698 and 6700

1. What is the LCM of 6698 and 6700?

Answer: LCM of 6698 and 6700 is 22438300.

2. 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.

3. What are the Factors of 6700?

Answer: Factors of 6700 are 1, 2, 4, 5, 10, 20, 25, 50, 67, 100, 134, 268, 335, 670, 1340, 1675, 3350, 6700. There are 18 integers that are factors of 6700. The greatest factor of 6700 is 6700.

4. How to Find the LCM of 6698 and 6700?

Answer:

Least Common Multiple of 6698 and 6700 = 22438300

Step 1: Find the prime factorization of 6698

6698 = 2 x 17 x 197

Step 2: Find the prime factorization of 6700

6700 = 2 x 2 x 5 x 5 x 67

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

LCM = 22438300 = 2 x 2 x 5 x 5 x 17 x 67 x 197

Step 4: Therefore, the least common multiple of 6698 and 6700 is 22438300.