Least Common Multiple of 2598 and 2601

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2598 and 2601 the smallest integer that is 2252466 that is divisible by both numbers.

Least Common Multiple (LCM) of 2598 and 2601 is 2252466.

LCM(2598,2601) = 2252466

LCM of 2598 and 2601

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

LCM of:
and

Least Common Multiple of 2598 and 2601

LCM of 2598 and 2601 is 2252466

Least common multiple can be found by multiplying the highest exponent prime factors of 2598 and 2601. First we will calculate the prime factors of 2598 and 2601.

Prime Factorization of 2598


2 2598
3 1299
433 433
1

Prime factors of 2598 are 2, 3,433. Prime factorization of 2598 in exponential form is:

2598 = 21×31×4331

Prime Factorization of 2601


3 2601
3 867
17 289
17 17
1

Prime factors of 2601 are 3,17. Prime factorization of 2601 in exponential form is:

2601 = 32×172

Now multiplying the highest exponent prime factors to calculate the LCM of 2598 and 2601.

LCM(2598,2601) = 21×32×172×4331
LCM(2598,2601) = 2252466

Factors of 2598

List of positive integer factors of 2598 that divides 2598 without a remainder.

1, 2, 3, 6, 433, 866, 1299, 2598

Factors of 2601

List of positive integer factors of 2601 that divides 2601 without a remainder.

1, 3, 9, 17, 51, 153, 289, 867, 2601

Least Common Multiple of 2598 and 2601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2598 and 2601, than apply into the LCM equation.

GCF(2598,2601) = 3
LCM(2598,2601) = ( 2598 × 2601) / 3
LCM(2598,2601) = 6757398 / 3
LCM(2598,2601) = 2252466

Properties of LCM 2598 and 2601

(i) The LCM of 2601 and 2598 is associative

LCM of 2598 and 2601 = LCM of 2601 and 2598

Related Least Common Multiples of 2598

Related Least Common Multiples of 2601

Frequently Asked Questions on LCM of 2598 and 2601

1. What is the LCM of 2598 and 2601?

Answer: LCM of 2598 and 2601 is 2252466.

2. What are the Factors of 2598?

Answer: Factors of 2598 are 1, 2, 3, 6, 433, 866, 1299, 2598. There are 8 integers that are factors of 2598. The greatest factor of 2598 is 2598.

3. What are the Factors of 2601?

Answer: Factors of 2601 are 1, 3, 9, 17, 51, 153, 289, 867, 2601. There are 9 integers that are factors of 2601. The greatest factor of 2601 is 2601.

4. How to Find the LCM of 2598 and 2601?

Answer:

Least Common Multiple of 2598 and 2601 = 2252466

Step 1: Find the prime factorization of 2598

2598 = 2 x 3 x 433

Step 2: Find the prime factorization of 2601

2601 = 3 x 3 x 17 x 17

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

LCM = 2252466 = 2 x 3 x 3 x 17 x 17 x 433

Step 4: Therefore, the least common multiple of 2598 and 2601 is 2252466.