Least Common Multiple of 3633 and 3637

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 3637 the smallest integer that is 13213221 that is divisible by both numbers.

Least Common Multiple (LCM) of 3633 and 3637 is 13213221.

LCM(3633,3637) = 13213221

LCM of 3633 and 3637

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

LCM of:
and

Least Common Multiple of 3633 and 3637

LCM of 3633 and 3637 is 13213221

Least common multiple can be found by multiplying the highest exponent prime factors of 3633 and 3637. First we will calculate the prime factors of 3633 and 3637.

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 3637


3637 3637
1

Prime factors of 3637 are 3637. Prime factorization of 3637 in exponential form is:

3637 = 36371

Now multiplying the highest exponent prime factors to calculate the LCM of 3633 and 3637.

LCM(3633,3637) = 31×71×1731×36371
LCM(3633,3637) = 13213221

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 3637

List of positive integer factors of 3637 that divides 3637 without a remainder.

1, 3637

Least Common Multiple of 3633 and 3637 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 3637, than apply into the LCM equation.

GCF(3633,3637) = 1
LCM(3633,3637) = ( 3633 × 3637) / 1
LCM(3633,3637) = 13213221 / 1
LCM(3633,3637) = 13213221

Properties of LCM 3633 and 3637

(i) The LCM of 3637 and 3633 is associative

LCM of 3633 and 3637 = LCM of 3637 and 3633

Related Least Common Multiples of 3633

Related Least Common Multiples of 3637

Frequently Asked Questions on LCM of 3633 and 3637

1. What is the LCM of 3633 and 3637?

Answer: LCM of 3633 and 3637 is 13213221.

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 3637?

Answer: Factors of 3637 are 1, 3637. There are 2 integers that are factors of 3637. The greatest factor of 3637 is 3637.

4. How to Find the LCM of 3633 and 3637?

Answer:

Least Common Multiple of 3633 and 3637 = 13213221

Step 1: Find the prime factorization of 3633

3633 = 3 x 7 x 173

Step 2: Find the prime factorization of 3637

3637 = 3637

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

LCM = 13213221 = 3 x 7 x 173 x 3637

Step 4: Therefore, the least common multiple of 3633 and 3637 is 13213221.