Least Common Multiple of 3627 and 3635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3627 and 3635 the smallest integer that is 13184145 that is divisible by both numbers.

Least Common Multiple (LCM) of 3627 and 3635 is 13184145.

LCM(3627,3635) = 13184145

LCM of 3627 and 3635

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

LCM of:
and

Least Common Multiple of 3627 and 3635

LCM of 3627 and 3635 is 13184145

Least common multiple can be found by multiplying the highest exponent prime factors of 3627 and 3635. First we will calculate the prime factors of 3627 and 3635.

Prime Factorization of 3627


3 3627
3 1209
13 403
31 31
1

Prime factors of 3627 are 3, 13,31. Prime factorization of 3627 in exponential form is:

3627 = 32×131×311

Prime Factorization of 3635


5 3635
727 727
1

Prime factors of 3635 are 5,727. Prime factorization of 3635 in exponential form is:

3635 = 51×7271

Now multiplying the highest exponent prime factors to calculate the LCM of 3627 and 3635.

LCM(3627,3635) = 32×51×131×311×7271
LCM(3627,3635) = 13184145

Factors of 3627

List of positive integer factors of 3627 that divides 3627 without a remainder.

1, 3, 9, 13, 31, 39, 93, 117, 279, 403, 1209, 3627

Factors of 3635

List of positive integer factors of 3635 that divides 3635 without a remainder.

1, 5, 727, 3635

Least Common Multiple of 3627 and 3635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3627 and 3635, than apply into the LCM equation.

GCF(3627,3635) = 1
LCM(3627,3635) = ( 3627 × 3635) / 1
LCM(3627,3635) = 13184145 / 1
LCM(3627,3635) = 13184145

Properties of LCM 3627 and 3635

(i) The LCM of 3635 and 3627 is associative

LCM of 3627 and 3635 = LCM of 3635 and 3627

Related Least Common Multiples of 3627

Related Least Common Multiples of 3635

Frequently Asked Questions on LCM of 3627 and 3635

1. What is the LCM of 3627 and 3635?

Answer: LCM of 3627 and 3635 is 13184145.

2. What are the Factors of 3627?

Answer: Factors of 3627 are 1, 3, 9, 13, 31, 39, 93, 117, 279, 403, 1209, 3627. There are 12 integers that are factors of 3627. The greatest factor of 3627 is 3627.

3. What are the Factors of 3635?

Answer: Factors of 3635 are 1, 5, 727, 3635. There are 4 integers that are factors of 3635. The greatest factor of 3635 is 3635.

4. How to Find the LCM of 3627 and 3635?

Answer:

Least Common Multiple of 3627 and 3635 = 13184145

Step 1: Find the prime factorization of 3627

3627 = 3 x 3 x 13 x 31

Step 2: Find the prime factorization of 3635

3635 = 5 x 727

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

LCM = 13184145 = 3 x 3 x 5 x 13 x 31 x 727

Step 4: Therefore, the least common multiple of 3627 and 3635 is 13184145.