Least Common Multiple of 2648 and 2649

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 2649 the smallest integer that is 7014552 that is divisible by both numbers.

Least Common Multiple (LCM) of 2648 and 2649 is 7014552.

LCM(2648,2649) = 7014552

LCM of 2648 and 2649

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

LCM of:
and

Least Common Multiple of 2648 and 2649

LCM of 2648 and 2649 is 7014552

Least common multiple can be found by multiplying the highest exponent prime factors of 2648 and 2649. First we will calculate the prime factors of 2648 and 2649.

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 2649


3 2649
883 883
1

Prime factors of 2649 are 3,883. Prime factorization of 2649 in exponential form is:

2649 = 31×8831

Now multiplying the highest exponent prime factors to calculate the LCM of 2648 and 2649.

LCM(2648,2649) = 23×31×3311×8831
LCM(2648,2649) = 7014552

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 2649

List of positive integer factors of 2649 that divides 2649 without a remainder.

1, 3, 883, 2649

Least Common Multiple of 2648 and 2649 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 2649, than apply into the LCM equation.

GCF(2648,2649) = 1
LCM(2648,2649) = ( 2648 × 2649) / 1
LCM(2648,2649) = 7014552 / 1
LCM(2648,2649) = 7014552

Properties of LCM 2648 and 2649

(i) The LCM of 2649 and 2648 is associative

LCM of 2648 and 2649 = LCM of 2649 and 2648

Related Least Common Multiples of 2648

Related Least Common Multiples of 2649

Frequently Asked Questions on LCM of 2648 and 2649

1. What is the LCM of 2648 and 2649?

Answer: LCM of 2648 and 2649 is 7014552.

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 2649?

Answer: Factors of 2649 are 1, 3, 883, 2649. There are 4 integers that are factors of 2649. The greatest factor of 2649 is 2649.

4. How to Find the LCM of 2648 and 2649?

Answer:

Least Common Multiple of 2648 and 2649 = 7014552

Step 1: Find the prime factorization of 2648

2648 = 2 x 2 x 2 x 331

Step 2: Find the prime factorization of 2649

2649 = 3 x 883

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

LCM = 7014552 = 2 x 2 x 2 x 3 x 331 x 883

Step 4: Therefore, the least common multiple of 2648 and 2649 is 7014552.