Least Common Multiple of 2898 and 2904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2898 and 2904 the smallest integer that is 1402632 that is divisible by both numbers.

Least Common Multiple (LCM) of 2898 and 2904 is 1402632.

LCM(2898,2904) = 1402632

LCM of 2898 and 2904

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

LCM of:
and

Least Common Multiple of 2898 and 2904

LCM of 2898 and 2904 is 1402632

Least common multiple can be found by multiplying the highest exponent prime factors of 2898 and 2904. First we will calculate the prime factors of 2898 and 2904.

Prime Factorization of 2898


2 2898
3 1449
3 483
7 161
23 23
1

Prime factors of 2898 are 2, 3, 7,23. Prime factorization of 2898 in exponential form is:

2898 = 21×32×71×231

Prime Factorization of 2904


2 2904
2 1452
2 726
3 363
11 121
11 11
1

Prime factors of 2904 are 2, 3,11. Prime factorization of 2904 in exponential form is:

2904 = 23×31×112

Now multiplying the highest exponent prime factors to calculate the LCM of 2898 and 2904.

LCM(2898,2904) = 23×32×71×112×231
LCM(2898,2904) = 1402632

Factors of 2898

List of positive integer factors of 2898 that divides 2898 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 42, 46, 63, 69, 126, 138, 161, 207, 322, 414, 483, 966, 1449, 2898

Factors of 2904

List of positive integer factors of 2904 that divides 2904 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 121, 132, 242, 264, 363, 484, 726, 968, 1452, 2904

Least Common Multiple of 2898 and 2904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2898 and 2904, than apply into the LCM equation.

GCF(2898,2904) = 6
LCM(2898,2904) = ( 2898 × 2904) / 6
LCM(2898,2904) = 8415792 / 6
LCM(2898,2904) = 1402632

Properties of LCM 2898 and 2904

(i) The LCM of 2904 and 2898 is associative

LCM of 2898 and 2904 = LCM of 2904 and 2898

Related Least Common Multiples of 2898

Related Least Common Multiples of 2904

Frequently Asked Questions on LCM of 2898 and 2904

1. What is the LCM of 2898 and 2904?

Answer: LCM of 2898 and 2904 is 1402632.

2. What are the Factors of 2898?

Answer: Factors of 2898 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 42, 46, 63, 69, 126, 138, 161, 207, 322, 414, 483, 966, 1449, 2898. There are 24 integers that are factors of 2898. The greatest factor of 2898 is 2898.

3. What are the Factors of 2904?

Answer: Factors of 2904 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 121, 132, 242, 264, 363, 484, 726, 968, 1452, 2904. There are 24 integers that are factors of 2904. The greatest factor of 2904 is 2904.

4. How to Find the LCM of 2898 and 2904?

Answer:

Least Common Multiple of 2898 and 2904 = 1402632

Step 1: Find the prime factorization of 2898

2898 = 2 x 3 x 3 x 7 x 23

Step 2: Find the prime factorization of 2904

2904 = 2 x 2 x 2 x 3 x 11 x 11

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

LCM = 1402632 = 2 x 2 x 2 x 3 x 3 x 7 x 11 x 11 x 23

Step 4: Therefore, the least common multiple of 2898 and 2904 is 1402632.