Least Common Multiple of 2648 and 2650

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 2650 the smallest integer that is 3508600 that is divisible by both numbers.

Least Common Multiple (LCM) of 2648 and 2650 is 3508600.

LCM(2648,2650) = 3508600

LCM of 2648 and 2650

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

LCM of:
and

Least Common Multiple of 2648 and 2650

LCM of 2648 and 2650 is 3508600

Least common multiple can be found by multiplying the highest exponent prime factors of 2648 and 2650. First we will calculate the prime factors of 2648 and 2650.

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 2650


2 2650
5 1325
5 265
53 53
1

Prime factors of 2650 are 2, 5,53. Prime factorization of 2650 in exponential form is:

2650 = 21×52×531

Now multiplying the highest exponent prime factors to calculate the LCM of 2648 and 2650.

LCM(2648,2650) = 23×52×531×3311
LCM(2648,2650) = 3508600

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 2650

List of positive integer factors of 2650 that divides 2650 without a remainder.

1, 2, 5, 10, 25, 50, 53, 106, 265, 530, 1325, 2650

Least Common Multiple of 2648 and 2650 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 2650, than apply into the LCM equation.

GCF(2648,2650) = 2
LCM(2648,2650) = ( 2648 × 2650) / 2
LCM(2648,2650) = 7017200 / 2
LCM(2648,2650) = 3508600

Properties of LCM 2648 and 2650

(i) The LCM of 2650 and 2648 is associative

LCM of 2648 and 2650 = LCM of 2650 and 2648

Related Least Common Multiples of 2648

Related Least Common Multiples of 2650

Frequently Asked Questions on LCM of 2648 and 2650

1. What is the LCM of 2648 and 2650?

Answer: LCM of 2648 and 2650 is 3508600.

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 2650?

Answer: Factors of 2650 are 1, 2, 5, 10, 25, 50, 53, 106, 265, 530, 1325, 2650. There are 12 integers that are factors of 2650. The greatest factor of 2650 is 2650.

4. How to Find the LCM of 2648 and 2650?

Answer:

Least Common Multiple of 2648 and 2650 = 3508600

Step 1: Find the prime factorization of 2648

2648 = 2 x 2 x 2 x 331

Step 2: Find the prime factorization of 2650

2650 = 2 x 5 x 5 x 53

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

LCM = 3508600 = 2 x 2 x 2 x 5 x 5 x 53 x 331

Step 4: Therefore, the least common multiple of 2648 and 2650 is 3508600.