Least Common Multiple of 2635 and 2636

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 2636 the smallest integer that is 6945860 that is divisible by both numbers.

Least Common Multiple (LCM) of 2635 and 2636 is 6945860.

LCM(2635,2636) = 6945860

LCM of 2635 and 2636

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

LCM of:
and

Least Common Multiple of 2635 and 2636

LCM of 2635 and 2636 is 6945860

Least common multiple can be found by multiplying the highest exponent prime factors of 2635 and 2636. First we will calculate the prime factors of 2635 and 2636.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 2635 and 2636.

LCM(2635,2636) = 22×51×171×311×6591
LCM(2635,2636) = 6945860

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 2636

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

1, 2, 4, 659, 1318, 2636

Least Common Multiple of 2635 and 2636 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 2636, than apply into the LCM equation.

GCF(2635,2636) = 1
LCM(2635,2636) = ( 2635 × 2636) / 1
LCM(2635,2636) = 6945860 / 1
LCM(2635,2636) = 6945860

Properties of LCM 2635 and 2636

(i) The LCM of 2636 and 2635 is associative

LCM of 2635 and 2636 = LCM of 2636 and 2635

Related Least Common Multiples of 2635

Related Least Common Multiples of 2636

Frequently Asked Questions on LCM of 2635 and 2636

1. What is the LCM of 2635 and 2636?

Answer: LCM of 2635 and 2636 is 6945860.

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 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.

4. How to Find the LCM of 2635 and 2636?

Answer:

Least Common Multiple of 2635 and 2636 = 6945860

Step 1: Find the prime factorization of 2635

2635 = 5 x 17 x 31

Step 2: Find the prime factorization of 2636

2636 = 2 x 2 x 659

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

LCM = 6945860 = 2 x 2 x 5 x 17 x 31 x 659

Step 4: Therefore, the least common multiple of 2635 and 2636 is 6945860.