Least Common Multiple of 4697 and 4698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4697 and 4698 the smallest integer that is 22066506 that is divisible by both numbers.

Least Common Multiple (LCM) of 4697 and 4698 is 22066506.

LCM(4697,4698) = 22066506

LCM of 4697 and 4698

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

LCM of:
and

Least Common Multiple of 4697 and 4698

LCM of 4697 and 4698 is 22066506

Least common multiple can be found by multiplying the highest exponent prime factors of 4697 and 4698. First we will calculate the prime factors of 4697 and 4698.

Prime Factorization of 4697


7 4697
11 671
61 61
1

Prime factors of 4697 are 7, 11,61. Prime factorization of 4697 in exponential form is:

4697 = 71×111×611

Prime Factorization of 4698


2 4698
3 2349
3 783
3 261
3 87
29 29
1

Prime factors of 4698 are 2, 3,29. Prime factorization of 4698 in exponential form is:

4698 = 21×34×291

Now multiplying the highest exponent prime factors to calculate the LCM of 4697 and 4698.

LCM(4697,4698) = 21×34×71×111×291×611
LCM(4697,4698) = 22066506

Factors of 4697

List of positive integer factors of 4697 that divides 4697 without a remainder.

1, 7, 11, 61, 77, 427, 671, 4697

Factors of 4698

List of positive integer factors of 4698 that divides 4698 without a remainder.

1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 81, 87, 162, 174, 261, 522, 783, 1566, 2349, 4698

Least Common Multiple of 4697 and 4698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4697 and 4698, than apply into the LCM equation.

GCF(4697,4698) = 1
LCM(4697,4698) = ( 4697 × 4698) / 1
LCM(4697,4698) = 22066506 / 1
LCM(4697,4698) = 22066506

Properties of LCM 4697 and 4698

(i) The LCM of 4698 and 4697 is associative

LCM of 4697 and 4698 = LCM of 4698 and 4697

Related Least Common Multiples of 4697

Related Least Common Multiples of 4698

Frequently Asked Questions on LCM of 4697 and 4698

1. What is the LCM of 4697 and 4698?

Answer: LCM of 4697 and 4698 is 22066506.

2. What are the Factors of 4697?

Answer: Factors of 4697 are 1, 7, 11, 61, 77, 427, 671, 4697. There are 8 integers that are factors of 4697. The greatest factor of 4697 is 4697.

3. What are the Factors of 4698?

Answer: Factors of 4698 are 1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 81, 87, 162, 174, 261, 522, 783, 1566, 2349, 4698. There are 20 integers that are factors of 4698. The greatest factor of 4698 is 4698.

4. How to Find the LCM of 4697 and 4698?

Answer:

Least Common Multiple of 4697 and 4698 = 22066506

Step 1: Find the prime factorization of 4697

4697 = 7 x 11 x 61

Step 2: Find the prime factorization of 4698

4698 = 2 x 3 x 3 x 3 x 3 x 29

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

LCM = 22066506 = 2 x 3 x 3 x 3 x 3 x 7 x 11 x 29 x 61

Step 4: Therefore, the least common multiple of 4697 and 4698 is 22066506.