Least Common Multiple of 2636 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 2636 and 2643 the smallest integer that is 6966948 that is divisible by both numbers.

Least Common Multiple (LCM) of 2636 and 2643 is 6966948.

LCM(2636,2643) = 6966948

LCM of 2636 and 2643

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

LCM of:
and

Least Common Multiple of 2636 and 2643

LCM of 2636 and 2643 is 6966948

Least common multiple can be found by multiplying the highest exponent prime factors of 2636 and 2643. First we will calculate the prime factors of 2636 and 2643.

Prime Factorization of 2636


2 2636
2 1318
659 659
1

Prime factors of 2636 are 2,659. Prime factorization of 2636 in exponential form is:

2636 = 22×6591

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 2636 and 2643.

LCM(2636,2643) = 22×31×6591×8811
LCM(2636,2643) = 6966948

Factors of 2636

List of positive integer factors of 2636 that divides 2636 without a remainder.

1, 2, 4, 659, 1318, 2636

Factors of 2643

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

1, 3, 881, 2643

Least Common Multiple of 2636 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 2636 and 2643, than apply into the LCM equation.

GCF(2636,2643) = 1
LCM(2636,2643) = ( 2636 × 2643) / 1
LCM(2636,2643) = 6966948 / 1
LCM(2636,2643) = 6966948

Properties of LCM 2636 and 2643

(i) The LCM of 2643 and 2636 is associative

LCM of 2636 and 2643 = LCM of 2643 and 2636

Related Least Common Multiples of 2636

Related Least Common Multiples of 2643

Frequently Asked Questions on LCM of 2636 and 2643

1. What is the LCM of 2636 and 2643?

Answer: LCM of 2636 and 2643 is 6966948.

2. What are the Factors of 2636?

Answer: Factors of 2636 are 1, 2, 4, 659, 1318, 2636. There are 6 integers that are factors of 2636. The greatest factor of 2636 is 2636.

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 2636 and 2643?

Answer:

Least Common Multiple of 2636 and 2643 = 6966948

Step 1: Find the prime factorization of 2636

2636 = 2 x 2 x 659

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 = 6966948 = 2 x 2 x 3 x 659 x 881

Step 4: Therefore, the least common multiple of 2636 and 2643 is 6966948.