Least Common Multiple of 6692 and 6697

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 6697 the smallest integer that is 44816324 that is divisible by both numbers.

Least Common Multiple (LCM) of 6692 and 6697 is 44816324.

LCM(6692,6697) = 44816324

LCM of 6692 and 6697

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

LCM of:
and

Least Common Multiple of 6692 and 6697

LCM of 6692 and 6697 is 44816324

Least common multiple can be found by multiplying the highest exponent prime factors of 6692 and 6697. First we will calculate the prime factors of 6692 and 6697.

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 6697


37 6697
181 181
1

Prime factors of 6697 are 37,181. Prime factorization of 6697 in exponential form is:

6697 = 371×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 6692 and 6697.

LCM(6692,6697) = 22×71×371×1811×2391
LCM(6692,6697) = 44816324

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 6697

List of positive integer factors of 6697 that divides 6697 without a remainder.

1, 37, 181, 6697

Least Common Multiple of 6692 and 6697 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 6697, than apply into the LCM equation.

GCF(6692,6697) = 1
LCM(6692,6697) = ( 6692 × 6697) / 1
LCM(6692,6697) = 44816324 / 1
LCM(6692,6697) = 44816324

Properties of LCM 6692 and 6697

(i) The LCM of 6697 and 6692 is associative

LCM of 6692 and 6697 = LCM of 6697 and 6692

Related Least Common Multiples of 6692

Related Least Common Multiples of 6697

Frequently Asked Questions on LCM of 6692 and 6697

1. What is the LCM of 6692 and 6697?

Answer: LCM of 6692 and 6697 is 44816324.

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 6697?

Answer: Factors of 6697 are 1, 37, 181, 6697. There are 4 integers that are factors of 6697. The greatest factor of 6697 is 6697.

4. How to Find the LCM of 6692 and 6697?

Answer:

Least Common Multiple of 6692 and 6697 = 44816324

Step 1: Find the prime factorization of 6692

6692 = 2 x 2 x 7 x 239

Step 2: Find the prime factorization of 6697

6697 = 37 x 181

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

LCM = 44816324 = 2 x 2 x 7 x 37 x 181 x 239

Step 4: Therefore, the least common multiple of 6692 and 6697 is 44816324.