Least Common Multiple of 2635 and 2643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2635 and 2643 the smallest integer that is 6964305 that is divisible by both numbers.

Least Common Multiple (LCM) of 2635 and 2643 is 6964305.

LCM(2635,2643) = 6964305

LCM of 2635 and 2643

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

LCM of:
and

Least Common Multiple of 2635 and 2643

LCM of 2635 and 2643 is 6964305

Least common multiple can be found by multiplying the highest exponent prime factors of 2635 and 2643. First we will calculate the prime factors of 2635 and 2643.

Prime Factorization of 2635


5 2635
17 527
31 31
1

Prime factors of 2635 are 5, 17,31. Prime factorization of 2635 in exponential form is:

2635 = 51×171×311

Prime Factorization of 2643


3 2643
881 881
1

Prime factors of 2643 are 3,881. Prime factorization of 2643 in exponential form is:

2643 = 31×8811

Now multiplying the highest exponent prime factors to calculate the LCM of 2635 and 2643.

LCM(2635,2643) = 31×51×171×311×8811
LCM(2635,2643) = 6964305

Factors of 2635

List of positive integer factors of 2635 that divides 2635 without a remainder.

1, 5, 17, 31, 85, 155, 527, 2635

Factors of 2643

List of positive integer factors of 2643 that divides 2643 without a remainder.

1, 3, 881, 2643

Least Common Multiple of 2635 and 2643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2635 and 2643, than apply into the LCM equation.

GCF(2635,2643) = 1
LCM(2635,2643) = ( 2635 × 2643) / 1
LCM(2635,2643) = 6964305 / 1
LCM(2635,2643) = 6964305

Properties of LCM 2635 and 2643

(i) The LCM of 2643 and 2635 is associative

LCM of 2635 and 2643 = LCM of 2643 and 2635

Related Least Common Multiples of 2635

Related Least Common Multiples of 2643

Frequently Asked Questions on LCM of 2635 and 2643

1. What is the LCM of 2635 and 2643?

Answer: LCM of 2635 and 2643 is 6964305.

2. What are the Factors of 2635?

Answer: Factors of 2635 are 1, 5, 17, 31, 85, 155, 527, 2635. There are 8 integers that are factors of 2635. The greatest factor of 2635 is 2635.

3. What are the Factors of 2643?

Answer: Factors of 2643 are 1, 3, 881, 2643. There are 4 integers that are factors of 2643. The greatest factor of 2643 is 2643.

4. How to Find the LCM of 2635 and 2643?

Answer:

Least Common Multiple of 2635 and 2643 = 6964305

Step 1: Find the prime factorization of 2635

2635 = 5 x 17 x 31

Step 2: Find the prime factorization of 2643

2643 = 3 x 881

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

LCM = 6964305 = 3 x 5 x 17 x 31 x 881

Step 4: Therefore, the least common multiple of 2635 and 2643 is 6964305.