Least Common Multiple of 3636 and 3640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3636 and 3640 the smallest integer that is 3308760 that is divisible by both numbers.

Least Common Multiple (LCM) of 3636 and 3640 is 3308760.

LCM(3636,3640) = 3308760

LCM of 3636 and 3640

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

LCM of:
and

Least Common Multiple of 3636 and 3640

LCM of 3636 and 3640 is 3308760

Least common multiple can be found by multiplying the highest exponent prime factors of 3636 and 3640. First we will calculate the prime factors of 3636 and 3640.

Prime Factorization of 3636


2 3636
2 1818
3 909
3 303
101 101
1

Prime factors of 3636 are 2, 3,101. Prime factorization of 3636 in exponential form is:

3636 = 22×32×1011

Prime Factorization of 3640


2 3640
2 1820
2 910
5 455
7 91
13 13
1

Prime factors of 3640 are 2, 5, 7,13. Prime factorization of 3640 in exponential form is:

3640 = 23×51×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 3636 and 3640.

LCM(3636,3640) = 23×32×51×71×131×1011
LCM(3636,3640) = 3308760

Factors of 3636

List of positive integer factors of 3636 that divides 3636 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 101, 202, 303, 404, 606, 909, 1212, 1818, 3636

Factors of 3640

List of positive integer factors of 3640 that divides 3640 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 182, 260, 280, 364, 455, 520, 728, 910, 1820, 3640

Least Common Multiple of 3636 and 3640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3636 and 3640, than apply into the LCM equation.

GCF(3636,3640) = 4
LCM(3636,3640) = ( 3636 × 3640) / 4
LCM(3636,3640) = 13235040 / 4
LCM(3636,3640) = 3308760

Properties of LCM 3636 and 3640

(i) The LCM of 3640 and 3636 is associative

LCM of 3636 and 3640 = LCM of 3640 and 3636

Related Least Common Multiples of 3636

Related Least Common Multiples of 3640

Frequently Asked Questions on LCM of 3636 and 3640

1. What is the LCM of 3636 and 3640?

Answer: LCM of 3636 and 3640 is 3308760.

2. What are the Factors of 3636?

Answer: Factors of 3636 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 101, 202, 303, 404, 606, 909, 1212, 1818, 3636. There are 18 integers that are factors of 3636. The greatest factor of 3636 is 3636.

3. What are the Factors of 3640?

Answer: Factors of 3640 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 182, 260, 280, 364, 455, 520, 728, 910, 1820, 3640. There are 32 integers that are factors of 3640. The greatest factor of 3640 is 3640.

4. How to Find the LCM of 3636 and 3640?

Answer:

Least Common Multiple of 3636 and 3640 = 3308760

Step 1: Find the prime factorization of 3636

3636 = 2 x 2 x 3 x 3 x 101

Step 2: Find the prime factorization of 3640

3640 = 2 x 2 x 2 x 5 x 7 x 13

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

LCM = 3308760 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 13 x 101

Step 4: Therefore, the least common multiple of 3636 and 3640 is 3308760.