Least Common Multiple of 3628 and 3635

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 3635 the smallest integer that is 13187780 that is divisible by both numbers.

Least Common Multiple (LCM) of 3628 and 3635 is 13187780.

LCM(3628,3635) = 13187780

LCM of 3628 and 3635

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

LCM of:
and

Least Common Multiple of 3628 and 3635

LCM of 3628 and 3635 is 13187780

Least common multiple can be found by multiplying the highest exponent prime factors of 3628 and 3635. First we will calculate the prime factors of 3628 and 3635.

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 3635


5 3635
727 727
1

Prime factors of 3635 are 5,727. Prime factorization of 3635 in exponential form is:

3635 = 51×7271

Now multiplying the highest exponent prime factors to calculate the LCM of 3628 and 3635.

LCM(3628,3635) = 22×51×7271×9071
LCM(3628,3635) = 13187780

Factors of 3628

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

1, 2, 4, 907, 1814, 3628

Factors of 3635

List of positive integer factors of 3635 that divides 3635 without a remainder.

1, 5, 727, 3635

Least Common Multiple of 3628 and 3635 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 3635, than apply into the LCM equation.

GCF(3628,3635) = 1
LCM(3628,3635) = ( 3628 × 3635) / 1
LCM(3628,3635) = 13187780 / 1
LCM(3628,3635) = 13187780

Properties of LCM 3628 and 3635

(i) The LCM of 3635 and 3628 is associative

LCM of 3628 and 3635 = LCM of 3635 and 3628

Related Least Common Multiples of 3628

Related Least Common Multiples of 3635

Frequently Asked Questions on LCM of 3628 and 3635

1. What is the LCM of 3628 and 3635?

Answer: LCM of 3628 and 3635 is 13187780.

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 3635?

Answer: Factors of 3635 are 1, 5, 727, 3635. There are 4 integers that are factors of 3635. The greatest factor of 3635 is 3635.

4. How to Find the LCM of 3628 and 3635?

Answer:

Least Common Multiple of 3628 and 3635 = 13187780

Step 1: Find the prime factorization of 3628

3628 = 2 x 2 x 907

Step 2: Find the prime factorization of 3635

3635 = 5 x 727

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

LCM = 13187780 = 2 x 2 x 5 x 727 x 907

Step 4: Therefore, the least common multiple of 3628 and 3635 is 13187780.