Least Common Multiple of 4698 and 4704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4698 and 4704 the smallest integer that is 3683232 that is divisible by both numbers.

Least Common Multiple (LCM) of 4698 and 4704 is 3683232.

LCM(4698,4704) = 3683232

LCM of 4698 and 4704

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

LCM of:
and

Least Common Multiple of 4698 and 4704

LCM of 4698 and 4704 is 3683232

Least common multiple can be found by multiplying the highest exponent prime factors of 4698 and 4704. First we will calculate the prime factors of 4698 and 4704.

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

Prime Factorization of 4704


2 4704
2 2352
2 1176
2 588
2 294
3 147
7 49
7 7
1

Prime factors of 4704 are 2, 3,7. Prime factorization of 4704 in exponential form is:

4704 = 25×31×72

Now multiplying the highest exponent prime factors to calculate the LCM of 4698 and 4704.

LCM(4698,4704) = 25×34×72×291
LCM(4698,4704) = 3683232

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

Factors of 4704

List of positive integer factors of 4704 that divides 4704 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352, 4704

Least Common Multiple of 4698 and 4704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4698 and 4704, than apply into the LCM equation.

GCF(4698,4704) = 6
LCM(4698,4704) = ( 4698 × 4704) / 6
LCM(4698,4704) = 22099392 / 6
LCM(4698,4704) = 3683232

Properties of LCM 4698 and 4704

(i) The LCM of 4704 and 4698 is associative

LCM of 4698 and 4704 = LCM of 4704 and 4698

Related Least Common Multiples of 4698

Related Least Common Multiples of 4704

Frequently Asked Questions on LCM of 4698 and 4704

1. What is the LCM of 4698 and 4704?

Answer: LCM of 4698 and 4704 is 3683232.

2. 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.

3. What are the Factors of 4704?

Answer: Factors of 4704 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352, 4704. There are 36 integers that are factors of 4704. The greatest factor of 4704 is 4704.

4. How to Find the LCM of 4698 and 4704?

Answer:

Least Common Multiple of 4698 and 4704 = 3683232

Step 1: Find the prime factorization of 4698

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

Step 2: Find the prime factorization of 4704

4704 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7

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

LCM = 3683232 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 x 7 x 29

Step 4: Therefore, the least common multiple of 4698 and 4704 is 3683232.