Least Common Multiple of 2642 and 2648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2642 and 2648 the smallest integer that is 3498008 that is divisible by both numbers.

Least Common Multiple (LCM) of 2642 and 2648 is 3498008.

LCM(2642,2648) = 3498008

LCM of 2642 and 2648

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

LCM of:
and

Least Common Multiple of 2642 and 2648

LCM of 2642 and 2648 is 3498008

Least common multiple can be found by multiplying the highest exponent prime factors of 2642 and 2648. First we will calculate the prime factors of 2642 and 2648.

Prime Factorization of 2642


2 2642
1321 1321
1

Prime factors of 2642 are 2,1321. Prime factorization of 2642 in exponential form is:

2642 = 21×13211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2642 and 2648.

LCM(2642,2648) = 23×3311×13211
LCM(2642,2648) = 3498008

Factors of 2642

List of positive integer factors of 2642 that divides 2642 without a remainder.

1, 2, 1321, 2642

Factors of 2648

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

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

Least Common Multiple of 2642 and 2648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2642 and 2648, than apply into the LCM equation.

GCF(2642,2648) = 2
LCM(2642,2648) = ( 2642 × 2648) / 2
LCM(2642,2648) = 6996016 / 2
LCM(2642,2648) = 3498008

Properties of LCM 2642 and 2648

(i) The LCM of 2648 and 2642 is associative

LCM of 2642 and 2648 = LCM of 2648 and 2642

Related Least Common Multiples of 2642

Related Least Common Multiples of 2648

Frequently Asked Questions on LCM of 2642 and 2648

1. What is the LCM of 2642 and 2648?

Answer: LCM of 2642 and 2648 is 3498008.

2. What are the Factors of 2642?

Answer: Factors of 2642 are 1, 2, 1321, 2642. There are 4 integers that are factors of 2642. The greatest factor of 2642 is 2642.

3. 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.

4. How to Find the LCM of 2642 and 2648?

Answer:

Least Common Multiple of 2642 and 2648 = 3498008

Step 1: Find the prime factorization of 2642

2642 = 2 x 1321

Step 2: Find the prime factorization of 2648

2648 = 2 x 2 x 2 x 331

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

LCM = 3498008 = 2 x 2 x 2 x 331 x 1321

Step 4: Therefore, the least common multiple of 2642 and 2648 is 3498008.