Least Common Multiple of 4692 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 4692 and 4698 the smallest integer that is 3673836 that is divisible by both numbers.

Least Common Multiple (LCM) of 4692 and 4698 is 3673836.

LCM(4692,4698) = 3673836

LCM of 4692 and 4698

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

LCM of:
and

Least Common Multiple of 4692 and 4698

LCM of 4692 and 4698 is 3673836

Least common multiple can be found by multiplying the highest exponent prime factors of 4692 and 4698. First we will calculate the prime factors of 4692 and 4698.

Prime Factorization of 4692


2 4692
2 2346
3 1173
17 391
23 23
1

Prime factors of 4692 are 2, 3, 17,23. Prime factorization of 4692 in exponential form is:

4692 = 22×31×171×231

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 4692 and 4698.

LCM(4692,4698) = 22×34×171×231×291
LCM(4692,4698) = 3673836

Factors of 4692

List of positive integer factors of 4692 that divides 4692 without a remainder.

1, 2, 3, 4, 6, 12, 17, 23, 34, 46, 51, 68, 69, 92, 102, 138, 204, 276, 391, 782, 1173, 1564, 2346, 4692

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 4692 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 4692 and 4698, than apply into the LCM equation.

GCF(4692,4698) = 6
LCM(4692,4698) = ( 4692 × 4698) / 6
LCM(4692,4698) = 22043016 / 6
LCM(4692,4698) = 3673836

Properties of LCM 4692 and 4698

(i) The LCM of 4698 and 4692 is associative

LCM of 4692 and 4698 = LCM of 4698 and 4692

Related Least Common Multiples of 4692

Related Least Common Multiples of 4698

Frequently Asked Questions on LCM of 4692 and 4698

1. What is the LCM of 4692 and 4698?

Answer: LCM of 4692 and 4698 is 3673836.

2. What are the Factors of 4692?

Answer: Factors of 4692 are 1, 2, 3, 4, 6, 12, 17, 23, 34, 46, 51, 68, 69, 92, 102, 138, 204, 276, 391, 782, 1173, 1564, 2346, 4692. There are 24 integers that are factors of 4692. The greatest factor of 4692 is 4692.

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 4692 and 4698?

Answer:

Least Common Multiple of 4692 and 4698 = 3673836

Step 1: Find the prime factorization of 4692

4692 = 2 x 2 x 3 x 17 x 23

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 = 3673836 = 2 x 2 x 3 x 3 x 3 x 3 x 17 x 23 x 29

Step 4: Therefore, the least common multiple of 4692 and 4698 is 3673836.