Least Common Multiple of 2609 and 2617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2609 and 2617 the smallest integer that is 6827753 that is divisible by both numbers.

Least Common Multiple (LCM) of 2609 and 2617 is 6827753.

LCM(2609,2617) = 6827753

LCM of 2609 and 2617

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

LCM of:
and

Least Common Multiple of 2609 and 2617

LCM of 2609 and 2617 is 6827753

Least common multiple can be found by multiplying the highest exponent prime factors of 2609 and 2617. First we will calculate the prime factors of 2609 and 2617.

Prime Factorization of 2609


2609 2609
1

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

2609 = 26091

Prime Factorization of 2617


2617 2617
1

Prime factors of 2617 are 2617. Prime factorization of 2617 in exponential form is:

2617 = 26171

Now multiplying the highest exponent prime factors to calculate the LCM of 2609 and 2617.

LCM(2609,2617) = 26091×26171
LCM(2609,2617) = 6827753

Factors of 2609

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

1, 2609

Factors of 2617

List of positive integer factors of 2617 that divides 2617 without a remainder.

1, 2617

Least Common Multiple of 2609 and 2617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2609 and 2617, than apply into the LCM equation.

GCF(2609,2617) = 1
LCM(2609,2617) = ( 2609 × 2617) / 1
LCM(2609,2617) = 6827753 / 1
LCM(2609,2617) = 6827753

Properties of LCM 2609 and 2617

(i) The LCM of 2617 and 2609 is associative

LCM of 2609 and 2617 = LCM of 2617 and 2609

Related Least Common Multiples of 2609

Related Least Common Multiples of 2617

Frequently Asked Questions on LCM of 2609 and 2617

1. What is the LCM of 2609 and 2617?

Answer: LCM of 2609 and 2617 is 6827753.

2. 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.

3. What are the Factors of 2617?

Answer: Factors of 2617 are 1, 2617. There are 2 integers that are factors of 2617. The greatest factor of 2617 is 2617.

4. How to Find the LCM of 2609 and 2617?

Answer:

Least Common Multiple of 2609 and 2617 = 6827753

Step 1: Find the prime factorization of 2609

2609 = 2609

Step 2: Find the prime factorization of 2617

2617 = 2617

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

LCM = 6827753 = 2609 x 2617

Step 4: Therefore, the least common multiple of 2609 and 2617 is 6827753.