Least Common Multiple of 2642 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 2642 and 2649 the smallest integer that is 6998658 that is divisible by both numbers.

Least Common Multiple (LCM) of 2642 and 2649 is 6998658.

LCM(2642,2649) = 6998658

LCM of 2642 and 2649

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

LCM of:
and

Least Common Multiple of 2642 and 2649

LCM of 2642 and 2649 is 6998658

Least common multiple can be found by multiplying the highest exponent prime factors of 2642 and 2649. First we will calculate the prime factors of 2642 and 2649.

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 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 2642 and 2649.

LCM(2642,2649) = 21×31×8831×13211
LCM(2642,2649) = 6998658

Factors of 2642

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

1, 2, 1321, 2642

Factors of 2649

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

1, 3, 883, 2649

Least Common Multiple of 2642 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 2642 and 2649, than apply into the LCM equation.

GCF(2642,2649) = 1
LCM(2642,2649) = ( 2642 × 2649) / 1
LCM(2642,2649) = 6998658 / 1
LCM(2642,2649) = 6998658

Properties of LCM 2642 and 2649

(i) The LCM of 2649 and 2642 is associative

LCM of 2642 and 2649 = LCM of 2649 and 2642

Related Least Common Multiples of 2642

Related Least Common Multiples of 2649

Frequently Asked Questions on LCM of 2642 and 2649

1. What is the LCM of 2642 and 2649?

Answer: LCM of 2642 and 2649 is 6998658.

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 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 2642 and 2649?

Answer:

Least Common Multiple of 2642 and 2649 = 6998658

Step 1: Find the prime factorization of 2642

2642 = 2 x 1321

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 = 6998658 = 2 x 3 x 883 x 1321

Step 4: Therefore, the least common multiple of 2642 and 2649 is 6998658.