Least Common Multiple of 6692 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 6692 and 6700 the smallest integer that is 11209100 that is divisible by both numbers.

Least Common Multiple (LCM) of 6692 and 6700 is 11209100.

LCM(6692,6700) = 11209100

LCM of 6692 and 6700

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

LCM of:
and

Least Common Multiple of 6692 and 6700

LCM of 6692 and 6700 is 11209100

Least common multiple can be found by multiplying the highest exponent prime factors of 6692 and 6700. First we will calculate the prime factors of 6692 and 6700.

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 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 6692 and 6700.

LCM(6692,6700) = 22×52×71×671×2391
LCM(6692,6700) = 11209100

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 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 6692 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 6692 and 6700, than apply into the LCM equation.

GCF(6692,6700) = 4
LCM(6692,6700) = ( 6692 × 6700) / 4
LCM(6692,6700) = 44836400 / 4
LCM(6692,6700) = 11209100

Properties of LCM 6692 and 6700

(i) The LCM of 6700 and 6692 is associative

LCM of 6692 and 6700 = LCM of 6700 and 6692

Related Least Common Multiples of 6692

Related Least Common Multiples of 6700

Frequently Asked Questions on LCM of 6692 and 6700

1. What is the LCM of 6692 and 6700?

Answer: LCM of 6692 and 6700 is 11209100.

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 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 6692 and 6700?

Answer:

Least Common Multiple of 6692 and 6700 = 11209100

Step 1: Find the prime factorization of 6692

6692 = 2 x 2 x 7 x 239

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 = 11209100 = 2 x 2 x 5 x 5 x 7 x 67 x 239

Step 4: Therefore, the least common multiple of 6692 and 6700 is 11209100.