Least Common Multiple of 3629 and 3636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3629 and 3636 the smallest integer that is 13195044 that is divisible by both numbers.

Least Common Multiple (LCM) of 3629 and 3636 is 13195044.

LCM(3629,3636) = 13195044

LCM of 3629 and 3636

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

LCM of:
and

Least Common Multiple of 3629 and 3636

LCM of 3629 and 3636 is 13195044

Least common multiple can be found by multiplying the highest exponent prime factors of 3629 and 3636. First we will calculate the prime factors of 3629 and 3636.

Prime Factorization of 3629


19 3629
191 191
1

Prime factors of 3629 are 19,191. Prime factorization of 3629 in exponential form is:

3629 = 191×1911

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3629 and 3636.

LCM(3629,3636) = 22×32×191×1011×1911
LCM(3629,3636) = 13195044

Factors of 3629

List of positive integer factors of 3629 that divides 3629 without a remainder.

1, 19, 191, 3629

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

Least Common Multiple of 3629 and 3636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3629 and 3636, than apply into the LCM equation.

GCF(3629,3636) = 1
LCM(3629,3636) = ( 3629 × 3636) / 1
LCM(3629,3636) = 13195044 / 1
LCM(3629,3636) = 13195044

Properties of LCM 3629 and 3636

(i) The LCM of 3636 and 3629 is associative

LCM of 3629 and 3636 = LCM of 3636 and 3629

Related Least Common Multiples of 3629

Related Least Common Multiples of 3636

Frequently Asked Questions on LCM of 3629 and 3636

1. What is the LCM of 3629 and 3636?

Answer: LCM of 3629 and 3636 is 13195044.

2. What are the Factors of 3629?

Answer: Factors of 3629 are 1, 19, 191, 3629. There are 4 integers that are factors of 3629. The greatest factor of 3629 is 3629.

3. 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.

4. How to Find the LCM of 3629 and 3636?

Answer:

Least Common Multiple of 3629 and 3636 = 13195044

Step 1: Find the prime factorization of 3629

3629 = 19 x 191

Step 2: Find the prime factorization of 3636

3636 = 2 x 2 x 3 x 3 x 101

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

LCM = 13195044 = 2 x 2 x 3 x 3 x 19 x 101 x 191

Step 4: Therefore, the least common multiple of 3629 and 3636 is 13195044.