Least Common Multiple of 2597 and 2602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2597 and 2602 the smallest integer that is 6757394 that is divisible by both numbers.

Least Common Multiple (LCM) of 2597 and 2602 is 6757394.

LCM(2597,2602) = 6757394

LCM of 2597 and 2602

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

LCM of:
and

Least Common Multiple of 2597 and 2602

LCM of 2597 and 2602 is 6757394

Least common multiple can be found by multiplying the highest exponent prime factors of 2597 and 2602. First we will calculate the prime factors of 2597 and 2602.

Prime Factorization of 2597


7 2597
7 371
53 53
1

Prime factors of 2597 are 7,53. Prime factorization of 2597 in exponential form is:

2597 = 72×531

Prime Factorization of 2602


2 2602
1301 1301
1

Prime factors of 2602 are 2,1301. Prime factorization of 2602 in exponential form is:

2602 = 21×13011

Now multiplying the highest exponent prime factors to calculate the LCM of 2597 and 2602.

LCM(2597,2602) = 21×72×531×13011
LCM(2597,2602) = 6757394

Factors of 2597

List of positive integer factors of 2597 that divides 2597 without a remainder.

1, 7, 49, 53, 371, 2597

Factors of 2602

List of positive integer factors of 2602 that divides 2602 without a remainder.

1, 2, 1301, 2602

Least Common Multiple of 2597 and 2602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2597 and 2602, than apply into the LCM equation.

GCF(2597,2602) = 1
LCM(2597,2602) = ( 2597 × 2602) / 1
LCM(2597,2602) = 6757394 / 1
LCM(2597,2602) = 6757394

Properties of LCM 2597 and 2602

(i) The LCM of 2602 and 2597 is associative

LCM of 2597 and 2602 = LCM of 2602 and 2597

Related Least Common Multiples of 2597

Related Least Common Multiples of 2602

Frequently Asked Questions on LCM of 2597 and 2602

1. What is the LCM of 2597 and 2602?

Answer: LCM of 2597 and 2602 is 6757394.

2. What are the Factors of 2597?

Answer: Factors of 2597 are 1, 7, 49, 53, 371, 2597. There are 6 integers that are factors of 2597. The greatest factor of 2597 is 2597.

3. What are the Factors of 2602?

Answer: Factors of 2602 are 1, 2, 1301, 2602. There are 4 integers that are factors of 2602. The greatest factor of 2602 is 2602.

4. How to Find the LCM of 2597 and 2602?

Answer:

Least Common Multiple of 2597 and 2602 = 6757394

Step 1: Find the prime factorization of 2597

2597 = 7 x 7 x 53

Step 2: Find the prime factorization of 2602

2602 = 2 x 1301

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

LCM = 6757394 = 2 x 7 x 7 x 53 x 1301

Step 4: Therefore, the least common multiple of 2597 and 2602 is 6757394.