Least Common Multiple of 3636 and 3644

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 3644 the smallest integer that is 3312396 that is divisible by both numbers.

Least Common Multiple (LCM) of 3636 and 3644 is 3312396.

LCM(3636,3644) = 3312396

LCM of 3636 and 3644

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

LCM of:
and

Least Common Multiple of 3636 and 3644

LCM of 3636 and 3644 is 3312396

Least common multiple can be found by multiplying the highest exponent prime factors of 3636 and 3644. First we will calculate the prime factors of 3636 and 3644.

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 3644


2 3644
2 1822
911 911
1

Prime factors of 3644 are 2,911. Prime factorization of 3644 in exponential form is:

3644 = 22×9111

Now multiplying the highest exponent prime factors to calculate the LCM of 3636 and 3644.

LCM(3636,3644) = 22×32×1011×9111
LCM(3636,3644) = 3312396

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 3644

List of positive integer factors of 3644 that divides 3644 without a remainder.

1, 2, 4, 911, 1822, 3644

Least Common Multiple of 3636 and 3644 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 3644, than apply into the LCM equation.

GCF(3636,3644) = 4
LCM(3636,3644) = ( 3636 × 3644) / 4
LCM(3636,3644) = 13249584 / 4
LCM(3636,3644) = 3312396

Properties of LCM 3636 and 3644

(i) The LCM of 3644 and 3636 is associative

LCM of 3636 and 3644 = LCM of 3644 and 3636

Related Least Common Multiples of 3636

Related Least Common Multiples of 3644

Frequently Asked Questions on LCM of 3636 and 3644

1. What is the LCM of 3636 and 3644?

Answer: LCM of 3636 and 3644 is 3312396.

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 3644?

Answer: Factors of 3644 are 1, 2, 4, 911, 1822, 3644. There are 6 integers that are factors of 3644. The greatest factor of 3644 is 3644.

4. How to Find the LCM of 3636 and 3644?

Answer:

Least Common Multiple of 3636 and 3644 = 3312396

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 3644

3644 = 2 x 2 x 911

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

LCM = 3312396 = 2 x 2 x 3 x 3 x 101 x 911

Step 4: Therefore, the least common multiple of 3636 and 3644 is 3312396.