Least Common Multiple of 3628 and 3633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3628 and 3633 the smallest integer that is 13180524 that is divisible by both numbers.

Least Common Multiple (LCM) of 3628 and 3633 is 13180524.

LCM(3628,3633) = 13180524

LCM of 3628 and 3633

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

LCM of:
and

Least Common Multiple of 3628 and 3633

LCM of 3628 and 3633 is 13180524

Least common multiple can be found by multiplying the highest exponent prime factors of 3628 and 3633. First we will calculate the prime factors of 3628 and 3633.

Prime Factorization of 3628


2 3628
2 1814
907 907
1

Prime factors of 3628 are 2,907. Prime factorization of 3628 in exponential form is:

3628 = 22×9071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3628 and 3633.

LCM(3628,3633) = 22×31×71×1731×9071
LCM(3628,3633) = 13180524

Factors of 3628

List of positive integer factors of 3628 that divides 3628 without a remainder.

1, 2, 4, 907, 1814, 3628

Factors of 3633

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

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

Least Common Multiple of 3628 and 3633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3628 and 3633, than apply into the LCM equation.

GCF(3628,3633) = 1
LCM(3628,3633) = ( 3628 × 3633) / 1
LCM(3628,3633) = 13180524 / 1
LCM(3628,3633) = 13180524

Properties of LCM 3628 and 3633

(i) The LCM of 3633 and 3628 is associative

LCM of 3628 and 3633 = LCM of 3633 and 3628

Related Least Common Multiples of 3628

Related Least Common Multiples of 3633

Frequently Asked Questions on LCM of 3628 and 3633

1. What is the LCM of 3628 and 3633?

Answer: LCM of 3628 and 3633 is 13180524.

2. What are the Factors of 3628?

Answer: Factors of 3628 are 1, 2, 4, 907, 1814, 3628. There are 6 integers that are factors of 3628. The greatest factor of 3628 is 3628.

3. 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.

4. How to Find the LCM of 3628 and 3633?

Answer:

Least Common Multiple of 3628 and 3633 = 13180524

Step 1: Find the prime factorization of 3628

3628 = 2 x 2 x 907

Step 2: Find the prime factorization of 3633

3633 = 3 x 7 x 173

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

LCM = 13180524 = 2 x 2 x 3 x 7 x 173 x 907

Step 4: Therefore, the least common multiple of 3628 and 3633 is 13180524.