Least Common Multiple of 3633 and 3639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3633 and 3639 the smallest integer that is 4406829 that is divisible by both numbers.

Least Common Multiple (LCM) of 3633 and 3639 is 4406829.

LCM(3633,3639) = 4406829

LCM of 3633 and 3639

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

LCM of:
and

Least Common Multiple of 3633 and 3639

LCM of 3633 and 3639 is 4406829

Least common multiple can be found by multiplying the highest exponent prime factors of 3633 and 3639. First we will calculate the prime factors of 3633 and 3639.

Prime Factorization of 3633


3 3633
7 1211
173 173
1

Prime factors of 3633 are 3, 7,173. Prime factorization of 3633 in exponential form is:

3633 = 31×71×1731

Prime Factorization of 3639


3 3639
1213 1213
1

Prime factors of 3639 are 3,1213. Prime factorization of 3639 in exponential form is:

3639 = 31×12131

Now multiplying the highest exponent prime factors to calculate the LCM of 3633 and 3639.

LCM(3633,3639) = 31×71×1731×12131
LCM(3633,3639) = 4406829

Factors of 3633

List of positive integer factors of 3633 that divides 3633 without a remainder.

1, 3, 7, 21, 173, 519, 1211, 3633

Factors of 3639

List of positive integer factors of 3639 that divides 3639 without a remainder.

1, 3, 1213, 3639

Least Common Multiple of 3633 and 3639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3633 and 3639, than apply into the LCM equation.

GCF(3633,3639) = 3
LCM(3633,3639) = ( 3633 × 3639) / 3
LCM(3633,3639) = 13220487 / 3
LCM(3633,3639) = 4406829

Properties of LCM 3633 and 3639

(i) The LCM of 3639 and 3633 is associative

LCM of 3633 and 3639 = LCM of 3639 and 3633

Related Least Common Multiples of 3633

Related Least Common Multiples of 3639

Frequently Asked Questions on LCM of 3633 and 3639

1. What is the LCM of 3633 and 3639?

Answer: LCM of 3633 and 3639 is 4406829.

2. What are the Factors of 3633?

Answer: Factors of 3633 are 1, 3, 7, 21, 173, 519, 1211, 3633. There are 8 integers that are factors of 3633. The greatest factor of 3633 is 3633.

3. What are the Factors of 3639?

Answer: Factors of 3639 are 1, 3, 1213, 3639. There are 4 integers that are factors of 3639. The greatest factor of 3639 is 3639.

4. How to Find the LCM of 3633 and 3639?

Answer:

Least Common Multiple of 3633 and 3639 = 4406829

Step 1: Find the prime factorization of 3633

3633 = 3 x 7 x 173

Step 2: Find the prime factorization of 3639

3639 = 3 x 1213

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

LCM = 4406829 = 3 x 7 x 173 x 1213

Step 4: Therefore, the least common multiple of 3633 and 3639 is 4406829.