Least Common Multiple of 2653 and 2659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2653 and 2659 the smallest integer that is 7054327 that is divisible by both numbers.

Least Common Multiple (LCM) of 2653 and 2659 is 7054327.

LCM(2653,2659) = 7054327

LCM of 2653 and 2659

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

LCM of:
and

Least Common Multiple of 2653 and 2659

LCM of 2653 and 2659 is 7054327

Least common multiple can be found by multiplying the highest exponent prime factors of 2653 and 2659. First we will calculate the prime factors of 2653 and 2659.

Prime Factorization of 2653


7 2653
379 379
1

Prime factors of 2653 are 7,379. Prime factorization of 2653 in exponential form is:

2653 = 71×3791

Prime Factorization of 2659


2659 2659
1

Prime factors of 2659 are 2659. Prime factorization of 2659 in exponential form is:

2659 = 26591

Now multiplying the highest exponent prime factors to calculate the LCM of 2653 and 2659.

LCM(2653,2659) = 71×3791×26591
LCM(2653,2659) = 7054327

Factors of 2653

List of positive integer factors of 2653 that divides 2653 without a remainder.

1, 7, 379, 2653

Factors of 2659

List of positive integer factors of 2659 that divides 2659 without a remainder.

1, 2659

Least Common Multiple of 2653 and 2659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2653 and 2659, than apply into the LCM equation.

GCF(2653,2659) = 1
LCM(2653,2659) = ( 2653 × 2659) / 1
LCM(2653,2659) = 7054327 / 1
LCM(2653,2659) = 7054327

Properties of LCM 2653 and 2659

(i) The LCM of 2659 and 2653 is associative

LCM of 2653 and 2659 = LCM of 2659 and 2653

Related Least Common Multiples of 2653

Related Least Common Multiples of 2659

Frequently Asked Questions on LCM of 2653 and 2659

1. What is the LCM of 2653 and 2659?

Answer: LCM of 2653 and 2659 is 7054327.

2. What are the Factors of 2653?

Answer: Factors of 2653 are 1, 7, 379, 2653. There are 4 integers that are factors of 2653. The greatest factor of 2653 is 2653.

3. What are the Factors of 2659?

Answer: Factors of 2659 are 1, 2659. There are 2 integers that are factors of 2659. The greatest factor of 2659 is 2659.

4. How to Find the LCM of 2653 and 2659?

Answer:

Least Common Multiple of 2653 and 2659 = 7054327

Step 1: Find the prime factorization of 2653

2653 = 7 x 379

Step 2: Find the prime factorization of 2659

2659 = 2659

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

LCM = 7054327 = 7 x 379 x 2659

Step 4: Therefore, the least common multiple of 2653 and 2659 is 7054327.