Least Common Multiple of 3636 and 3643

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 3643 the smallest integer that is 13245948 that is divisible by both numbers.

Least Common Multiple (LCM) of 3636 and 3643 is 13245948.

LCM(3636,3643) = 13245948

LCM of 3636 and 3643

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

LCM of:
and

Least Common Multiple of 3636 and 3643

LCM of 3636 and 3643 is 13245948

Least common multiple can be found by multiplying the highest exponent prime factors of 3636 and 3643. First we will calculate the prime factors of 3636 and 3643.

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 3643


3643 3643
1

Prime factors of 3643 are 3643. Prime factorization of 3643 in exponential form is:

3643 = 36431

Now multiplying the highest exponent prime factors to calculate the LCM of 3636 and 3643.

LCM(3636,3643) = 22×32×1011×36431
LCM(3636,3643) = 13245948

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 3643

List of positive integer factors of 3643 that divides 3643 without a remainder.

1, 3643

Least Common Multiple of 3636 and 3643 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 3643, than apply into the LCM equation.

GCF(3636,3643) = 1
LCM(3636,3643) = ( 3636 × 3643) / 1
LCM(3636,3643) = 13245948 / 1
LCM(3636,3643) = 13245948

Properties of LCM 3636 and 3643

(i) The LCM of 3643 and 3636 is associative

LCM of 3636 and 3643 = LCM of 3643 and 3636

Related Least Common Multiples of 3636

Related Least Common Multiples of 3643

Frequently Asked Questions on LCM of 3636 and 3643

1. What is the LCM of 3636 and 3643?

Answer: LCM of 3636 and 3643 is 13245948.

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 3643?

Answer: Factors of 3643 are 1, 3643. There are 2 integers that are factors of 3643. The greatest factor of 3643 is 3643.

4. How to Find the LCM of 3636 and 3643?

Answer:

Least Common Multiple of 3636 and 3643 = 13245948

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 3643

3643 = 3643

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

LCM = 13245948 = 2 x 2 x 3 x 3 x 101 x 3643

Step 4: Therefore, the least common multiple of 3636 and 3643 is 13245948.