Least Common Multiple of 2898 and 2902

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 2902 the smallest integer that is 4204998 that is divisible by both numbers.

Least Common Multiple (LCM) of 2898 and 2902 is 4204998.

LCM(2898,2902) = 4204998

LCM of 2898 and 2902

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

LCM of:
and

Least Common Multiple of 2898 and 2902

LCM of 2898 and 2902 is 4204998

Least common multiple can be found by multiplying the highest exponent prime factors of 2898 and 2902. First we will calculate the prime factors of 2898 and 2902.

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 2902


2 2902
1451 1451
1

Prime factors of 2902 are 2,1451. Prime factorization of 2902 in exponential form is:

2902 = 21×14511

Now multiplying the highest exponent prime factors to calculate the LCM of 2898 and 2902.

LCM(2898,2902) = 21×32×71×231×14511
LCM(2898,2902) = 4204998

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 2902

List of positive integer factors of 2902 that divides 2902 without a remainder.

1, 2, 1451, 2902

Least Common Multiple of 2898 and 2902 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 2902, than apply into the LCM equation.

GCF(2898,2902) = 2
LCM(2898,2902) = ( 2898 × 2902) / 2
LCM(2898,2902) = 8409996 / 2
LCM(2898,2902) = 4204998

Properties of LCM 2898 and 2902

(i) The LCM of 2902 and 2898 is associative

LCM of 2898 and 2902 = LCM of 2902 and 2898

Related Least Common Multiples of 2898

Related Least Common Multiples of 2902

Frequently Asked Questions on LCM of 2898 and 2902

1. What is the LCM of 2898 and 2902?

Answer: LCM of 2898 and 2902 is 4204998.

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 2902?

Answer: Factors of 2902 are 1, 2, 1451, 2902. There are 4 integers that are factors of 2902. The greatest factor of 2902 is 2902.

4. How to Find the LCM of 2898 and 2902?

Answer:

Least Common Multiple of 2898 and 2902 = 4204998

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 2902

2902 = 2 x 1451

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

LCM = 4204998 = 2 x 3 x 3 x 7 x 23 x 1451

Step 4: Therefore, the least common multiple of 2898 and 2902 is 4204998.