Least Common Multiple of 2898 and 2905

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 2905 the smallest integer that is 1202670 that is divisible by both numbers.

Least Common Multiple (LCM) of 2898 and 2905 is 1202670.

LCM(2898,2905) = 1202670

LCM of 2898 and 2905

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

LCM of:
and

Least Common Multiple of 2898 and 2905

LCM of 2898 and 2905 is 1202670

Least common multiple can be found by multiplying the highest exponent prime factors of 2898 and 2905. First we will calculate the prime factors of 2898 and 2905.

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 2905


5 2905
7 581
83 83
1

Prime factors of 2905 are 5, 7,83. Prime factorization of 2905 in exponential form is:

2905 = 51×71×831

Now multiplying the highest exponent prime factors to calculate the LCM of 2898 and 2905.

LCM(2898,2905) = 21×32×51×71×231×831
LCM(2898,2905) = 1202670

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 2905

List of positive integer factors of 2905 that divides 2905 without a remainder.

1, 5, 7, 35, 83, 415, 581, 2905

Least Common Multiple of 2898 and 2905 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 2905, than apply into the LCM equation.

GCF(2898,2905) = 7
LCM(2898,2905) = ( 2898 × 2905) / 7
LCM(2898,2905) = 8418690 / 7
LCM(2898,2905) = 1202670

Properties of LCM 2898 and 2905

(i) The LCM of 2905 and 2898 is associative

LCM of 2898 and 2905 = LCM of 2905 and 2898

Related Least Common Multiples of 2898

Related Least Common Multiples of 2905

Frequently Asked Questions on LCM of 2898 and 2905

1. What is the LCM of 2898 and 2905?

Answer: LCM of 2898 and 2905 is 1202670.

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 2905?

Answer: Factors of 2905 are 1, 5, 7, 35, 83, 415, 581, 2905. There are 8 integers that are factors of 2905. The greatest factor of 2905 is 2905.

4. How to Find the LCM of 2898 and 2905?

Answer:

Least Common Multiple of 2898 and 2905 = 1202670

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 2905

2905 = 5 x 7 x 83

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

LCM = 1202670 = 2 x 3 x 3 x 5 x 7 x 23 x 83

Step 4: Therefore, the least common multiple of 2898 and 2905 is 1202670.