Least Common Multiple of 2891 and 2898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2891 and 2898 the smallest integer that is 1196874 that is divisible by both numbers.

Least Common Multiple (LCM) of 2891 and 2898 is 1196874.

LCM(2891,2898) = 1196874

LCM of 2891 and 2898

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

LCM of:
and

Least Common Multiple of 2891 and 2898

LCM of 2891 and 2898 is 1196874

Least common multiple can be found by multiplying the highest exponent prime factors of 2891 and 2898. First we will calculate the prime factors of 2891 and 2898.

Prime Factorization of 2891


7 2891
7 413
59 59
1

Prime factors of 2891 are 7,59. Prime factorization of 2891 in exponential form is:

2891 = 72×591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2891 and 2898.

LCM(2891,2898) = 21×32×72×231×591
LCM(2891,2898) = 1196874

Factors of 2891

List of positive integer factors of 2891 that divides 2891 without a remainder.

1, 7, 49, 59, 413, 2891

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

Least Common Multiple of 2891 and 2898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2891 and 2898, than apply into the LCM equation.

GCF(2891,2898) = 7
LCM(2891,2898) = ( 2891 × 2898) / 7
LCM(2891,2898) = 8378118 / 7
LCM(2891,2898) = 1196874

Properties of LCM 2891 and 2898

(i) The LCM of 2898 and 2891 is associative

LCM of 2891 and 2898 = LCM of 2898 and 2891

Related Least Common Multiples of 2891

Related Least Common Multiples of 2898

Frequently Asked Questions on LCM of 2891 and 2898

1. What is the LCM of 2891 and 2898?

Answer: LCM of 2891 and 2898 is 1196874.

2. What are the Factors of 2891?

Answer: Factors of 2891 are 1, 7, 49, 59, 413, 2891. There are 6 integers that are factors of 2891. The greatest factor of 2891 is 2891.

3. 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.

4. How to Find the LCM of 2891 and 2898?

Answer:

Least Common Multiple of 2891 and 2898 = 1196874

Step 1: Find the prime factorization of 2891

2891 = 7 x 7 x 59

Step 2: Find the prime factorization of 2898

2898 = 2 x 3 x 3 x 7 x 23

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

LCM = 1196874 = 2 x 3 x 3 x 7 x 7 x 23 x 59

Step 4: Therefore, the least common multiple of 2891 and 2898 is 1196874.