Least Common Multiple of 6700 and 6704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6700 and 6704 the smallest integer that is 11229200 that is divisible by both numbers.

Least Common Multiple (LCM) of 6700 and 6704 is 11229200.

LCM(6700,6704) = 11229200

LCM of 6700 and 6704

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

LCM of:
and

Least Common Multiple of 6700 and 6704

LCM of 6700 and 6704 is 11229200

Least common multiple can be found by multiplying the highest exponent prime factors of 6700 and 6704. First we will calculate the prime factors of 6700 and 6704.

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

Prime Factorization of 6704


2 6704
2 3352
2 1676
2 838
419 419
1

Prime factors of 6704 are 2,419. Prime factorization of 6704 in exponential form is:

6704 = 24×4191

Now multiplying the highest exponent prime factors to calculate the LCM of 6700 and 6704.

LCM(6700,6704) = 24×52×671×4191
LCM(6700,6704) = 11229200

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

Factors of 6704

List of positive integer factors of 6704 that divides 6704 without a remainder.

1, 2, 4, 8, 16, 419, 838, 1676, 3352, 6704

Least Common Multiple of 6700 and 6704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6700 and 6704, than apply into the LCM equation.

GCF(6700,6704) = 4
LCM(6700,6704) = ( 6700 × 6704) / 4
LCM(6700,6704) = 44916800 / 4
LCM(6700,6704) = 11229200

Properties of LCM 6700 and 6704

(i) The LCM of 6704 and 6700 is associative

LCM of 6700 and 6704 = LCM of 6704 and 6700

Related Least Common Multiples of 6700

Related Least Common Multiples of 6704

Frequently Asked Questions on LCM of 6700 and 6704

1. What is the LCM of 6700 and 6704?

Answer: LCM of 6700 and 6704 is 11229200.

2. 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.

3. What are the Factors of 6704?

Answer: Factors of 6704 are 1, 2, 4, 8, 16, 419, 838, 1676, 3352, 6704. There are 10 integers that are factors of 6704. The greatest factor of 6704 is 6704.

4. How to Find the LCM of 6700 and 6704?

Answer:

Least Common Multiple of 6700 and 6704 = 11229200

Step 1: Find the prime factorization of 6700

6700 = 2 x 2 x 5 x 5 x 67

Step 2: Find the prime factorization of 6704

6704 = 2 x 2 x 2 x 2 x 419

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

LCM = 11229200 = 2 x 2 x 2 x 2 x 5 x 5 x 67 x 419

Step 4: Therefore, the least common multiple of 6700 and 6704 is 11229200.