Least Common Multiple of 2598 and 2599

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 2599 the smallest integer that is 6752202 that is divisible by both numbers.

Least Common Multiple (LCM) of 2598 and 2599 is 6752202.

LCM(2598,2599) = 6752202

LCM of 2598 and 2599

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

LCM of:
and

Least Common Multiple of 2598 and 2599

LCM of 2598 and 2599 is 6752202

Least common multiple can be found by multiplying the highest exponent prime factors of 2598 and 2599. First we will calculate the prime factors of 2598 and 2599.

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 2599


23 2599
113 113
1

Prime factors of 2599 are 23,113. Prime factorization of 2599 in exponential form is:

2599 = 231×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 2598 and 2599.

LCM(2598,2599) = 21×31×231×1131×4331
LCM(2598,2599) = 6752202

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 2599

List of positive integer factors of 2599 that divides 2599 without a remainder.

1, 23, 113, 2599

Least Common Multiple of 2598 and 2599 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 2599, than apply into the LCM equation.

GCF(2598,2599) = 1
LCM(2598,2599) = ( 2598 × 2599) / 1
LCM(2598,2599) = 6752202 / 1
LCM(2598,2599) = 6752202

Properties of LCM 2598 and 2599

(i) The LCM of 2599 and 2598 is associative

LCM of 2598 and 2599 = LCM of 2599 and 2598

Related Least Common Multiples of 2598

Related Least Common Multiples of 2599

Frequently Asked Questions on LCM of 2598 and 2599

1. What is the LCM of 2598 and 2599?

Answer: LCM of 2598 and 2599 is 6752202.

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 2599?

Answer: Factors of 2599 are 1, 23, 113, 2599. There are 4 integers that are factors of 2599. The greatest factor of 2599 is 2599.

4. How to Find the LCM of 2598 and 2599?

Answer:

Least Common Multiple of 2598 and 2599 = 6752202

Step 1: Find the prime factorization of 2598

2598 = 2 x 3 x 433

Step 2: Find the prime factorization of 2599

2599 = 23 x 113

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

LCM = 6752202 = 2 x 3 x 23 x 113 x 433

Step 4: Therefore, the least common multiple of 2598 and 2599 is 6752202.