Least Common Multiple of 2648 and 2653

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2648 and 2653 the smallest integer that is 7025144 that is divisible by both numbers.

Least Common Multiple (LCM) of 2648 and 2653 is 7025144.

LCM(2648,2653) = 7025144

LCM of 2648 and 2653

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

LCM of:
and

Least Common Multiple of 2648 and 2653

LCM of 2648 and 2653 is 7025144

Least common multiple can be found by multiplying the highest exponent prime factors of 2648 and 2653. First we will calculate the prime factors of 2648 and 2653.

Prime Factorization of 2648


2 2648
2 1324
2 662
331 331
1

Prime factors of 2648 are 2,331. Prime factorization of 2648 in exponential form is:

2648 = 23×3311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2648 and 2653.

LCM(2648,2653) = 23×71×3311×3791
LCM(2648,2653) = 7025144

Factors of 2648

List of positive integer factors of 2648 that divides 2648 without a remainder.

1, 2, 4, 8, 331, 662, 1324, 2648

Factors of 2653

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

1, 7, 379, 2653

Least Common Multiple of 2648 and 2653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2648 and 2653, than apply into the LCM equation.

GCF(2648,2653) = 1
LCM(2648,2653) = ( 2648 × 2653) / 1
LCM(2648,2653) = 7025144 / 1
LCM(2648,2653) = 7025144

Properties of LCM 2648 and 2653

(i) The LCM of 2653 and 2648 is associative

LCM of 2648 and 2653 = LCM of 2653 and 2648

Related Least Common Multiples of 2648

Related Least Common Multiples of 2653

Frequently Asked Questions on LCM of 2648 and 2653

1. What is the LCM of 2648 and 2653?

Answer: LCM of 2648 and 2653 is 7025144.

2. What are the Factors of 2648?

Answer: Factors of 2648 are 1, 2, 4, 8, 331, 662, 1324, 2648. There are 8 integers that are factors of 2648. The greatest factor of 2648 is 2648.

3. 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.

4. How to Find the LCM of 2648 and 2653?

Answer:

Least Common Multiple of 2648 and 2653 = 7025144

Step 1: Find the prime factorization of 2648

2648 = 2 x 2 x 2 x 331

Step 2: Find the prime factorization of 2653

2653 = 7 x 379

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

LCM = 7025144 = 2 x 2 x 2 x 7 x 331 x 379

Step 4: Therefore, the least common multiple of 2648 and 2653 is 7025144.