Least Common Multiple of 2653 and 2658

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 2658 the smallest integer that is 7051674 that is divisible by both numbers.

Least Common Multiple (LCM) of 2653 and 2658 is 7051674.

LCM(2653,2658) = 7051674

LCM of 2653 and 2658

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

LCM of:
and

Least Common Multiple of 2653 and 2658

LCM of 2653 and 2658 is 7051674

Least common multiple can be found by multiplying the highest exponent prime factors of 2653 and 2658. First we will calculate the prime factors of 2653 and 2658.

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 2658


2 2658
3 1329
443 443
1

Prime factors of 2658 are 2, 3,443. Prime factorization of 2658 in exponential form is:

2658 = 21×31×4431

Now multiplying the highest exponent prime factors to calculate the LCM of 2653 and 2658.

LCM(2653,2658) = 21×31×71×3791×4431
LCM(2653,2658) = 7051674

Factors of 2653

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

1, 7, 379, 2653

Factors of 2658

List of positive integer factors of 2658 that divides 2658 without a remainder.

1, 2, 3, 6, 443, 886, 1329, 2658

Least Common Multiple of 2653 and 2658 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 2658, than apply into the LCM equation.

GCF(2653,2658) = 1
LCM(2653,2658) = ( 2653 × 2658) / 1
LCM(2653,2658) = 7051674 / 1
LCM(2653,2658) = 7051674

Properties of LCM 2653 and 2658

(i) The LCM of 2658 and 2653 is associative

LCM of 2653 and 2658 = LCM of 2658 and 2653

Related Least Common Multiples of 2653

Related Least Common Multiples of 2658

Frequently Asked Questions on LCM of 2653 and 2658

1. What is the LCM of 2653 and 2658?

Answer: LCM of 2653 and 2658 is 7051674.

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 2658?

Answer: Factors of 2658 are 1, 2, 3, 6, 443, 886, 1329, 2658. There are 8 integers that are factors of 2658. The greatest factor of 2658 is 2658.

4. How to Find the LCM of 2653 and 2658?

Answer:

Least Common Multiple of 2653 and 2658 = 7051674

Step 1: Find the prime factorization of 2653

2653 = 7 x 379

Step 2: Find the prime factorization of 2658

2658 = 2 x 3 x 443

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

LCM = 7051674 = 2 x 3 x 7 x 379 x 443

Step 4: Therefore, the least common multiple of 2653 and 2658 is 7051674.