Least Common Multiple of 4690 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 4690 and 4698 the smallest integer that is 11016810 that is divisible by both numbers.

Least Common Multiple (LCM) of 4690 and 4698 is 11016810.

LCM(4690,4698) = 11016810

LCM of 4690 and 4698

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

LCM of:
and

Least Common Multiple of 4690 and 4698

LCM of 4690 and 4698 is 11016810

Least common multiple can be found by multiplying the highest exponent prime factors of 4690 and 4698. First we will calculate the prime factors of 4690 and 4698.

Prime Factorization of 4690


2 4690
5 2345
7 469
67 67
1

Prime factors of 4690 are 2, 5, 7,67. Prime factorization of 4690 in exponential form is:

4690 = 21×51×71×671

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 4690 and 4698.

LCM(4690,4698) = 21×34×51×71×291×671
LCM(4690,4698) = 11016810

Factors of 4690

List of positive integer factors of 4690 that divides 4690 without a remainder.

1, 2, 5, 7, 10, 14, 35, 67, 70, 134, 335, 469, 670, 938, 2345, 4690

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 4690 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 4690 and 4698, than apply into the LCM equation.

GCF(4690,4698) = 2
LCM(4690,4698) = ( 4690 × 4698) / 2
LCM(4690,4698) = 22033620 / 2
LCM(4690,4698) = 11016810

Properties of LCM 4690 and 4698

(i) The LCM of 4698 and 4690 is associative

LCM of 4690 and 4698 = LCM of 4698 and 4690

Related Least Common Multiples of 4690

Related Least Common Multiples of 4698

Frequently Asked Questions on LCM of 4690 and 4698

1. What is the LCM of 4690 and 4698?

Answer: LCM of 4690 and 4698 is 11016810.

2. What are the Factors of 4690?

Answer: Factors of 4690 are 1, 2, 5, 7, 10, 14, 35, 67, 70, 134, 335, 469, 670, 938, 2345, 4690. There are 16 integers that are factors of 4690. The greatest factor of 4690 is 4690.

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 4690 and 4698?

Answer:

Least Common Multiple of 4690 and 4698 = 11016810

Step 1: Find the prime factorization of 4690

4690 = 2 x 5 x 7 x 67

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 = 11016810 = 2 x 3 x 3 x 3 x 3 x 5 x 7 x 29 x 67

Step 4: Therefore, the least common multiple of 4690 and 4698 is 11016810.