Least Common Multiple of 2602 and 2609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2602 and 2609 the smallest integer that is 6788618 that is divisible by both numbers.

Least Common Multiple (LCM) of 2602 and 2609 is 6788618.

LCM(2602,2609) = 6788618

LCM of 2602 and 2609

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

LCM of:
and

Least Common Multiple of 2602 and 2609

LCM of 2602 and 2609 is 6788618

Least common multiple can be found by multiplying the highest exponent prime factors of 2602 and 2609. First we will calculate the prime factors of 2602 and 2609.

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

Prime Factorization of 2609


2609 2609
1

Prime factors of 2609 are 2609. Prime factorization of 2609 in exponential form is:

2609 = 26091

Now multiplying the highest exponent prime factors to calculate the LCM of 2602 and 2609.

LCM(2602,2609) = 21×13011×26091
LCM(2602,2609) = 6788618

Factors of 2602

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

1, 2, 1301, 2602

Factors of 2609

List of positive integer factors of 2609 that divides 2609 without a remainder.

1, 2609

Least Common Multiple of 2602 and 2609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2602 and 2609, than apply into the LCM equation.

GCF(2602,2609) = 1
LCM(2602,2609) = ( 2602 × 2609) / 1
LCM(2602,2609) = 6788618 / 1
LCM(2602,2609) = 6788618

Properties of LCM 2602 and 2609

(i) The LCM of 2609 and 2602 is associative

LCM of 2602 and 2609 = LCM of 2609 and 2602

Related Least Common Multiples of 2602

Related Least Common Multiples of 2609

Frequently Asked Questions on LCM of 2602 and 2609

1. What is the LCM of 2602 and 2609?

Answer: LCM of 2602 and 2609 is 6788618.

2. 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.

3. What are the Factors of 2609?

Answer: Factors of 2609 are 1, 2609. There are 2 integers that are factors of 2609. The greatest factor of 2609 is 2609.

4. How to Find the LCM of 2602 and 2609?

Answer:

Least Common Multiple of 2602 and 2609 = 6788618

Step 1: Find the prime factorization of 2602

2602 = 2 x 1301

Step 2: Find the prime factorization of 2609

2609 = 2609

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

LCM = 6788618 = 2 x 1301 x 2609

Step 4: Therefore, the least common multiple of 2602 and 2609 is 6788618.