Least Common Multiple of 3628 and 3632

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 3632 the smallest integer that is 3294224 that is divisible by both numbers.

Least Common Multiple (LCM) of 3628 and 3632 is 3294224.

LCM(3628,3632) = 3294224

LCM of 3628 and 3632

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

LCM of:
and

Least Common Multiple of 3628 and 3632

LCM of 3628 and 3632 is 3294224

Least common multiple can be found by multiplying the highest exponent prime factors of 3628 and 3632. First we will calculate the prime factors of 3628 and 3632.

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 3632


2 3632
2 1816
2 908
2 454
227 227
1

Prime factors of 3632 are 2,227. Prime factorization of 3632 in exponential form is:

3632 = 24×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 3628 and 3632.

LCM(3628,3632) = 24×2271×9071
LCM(3628,3632) = 3294224

Factors of 3628

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

1, 2, 4, 907, 1814, 3628

Factors of 3632

List of positive integer factors of 3632 that divides 3632 without a remainder.

1, 2, 4, 8, 16, 227, 454, 908, 1816, 3632

Least Common Multiple of 3628 and 3632 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 3632, than apply into the LCM equation.

GCF(3628,3632) = 4
LCM(3628,3632) = ( 3628 × 3632) / 4
LCM(3628,3632) = 13176896 / 4
LCM(3628,3632) = 3294224

Properties of LCM 3628 and 3632

(i) The LCM of 3632 and 3628 is associative

LCM of 3628 and 3632 = LCM of 3632 and 3628

Related Least Common Multiples of 3628

Related Least Common Multiples of 3632

Frequently Asked Questions on LCM of 3628 and 3632

1. What is the LCM of 3628 and 3632?

Answer: LCM of 3628 and 3632 is 3294224.

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 3632?

Answer: Factors of 3632 are 1, 2, 4, 8, 16, 227, 454, 908, 1816, 3632. There are 10 integers that are factors of 3632. The greatest factor of 3632 is 3632.

4. How to Find the LCM of 3628 and 3632?

Answer:

Least Common Multiple of 3628 and 3632 = 3294224

Step 1: Find the prime factorization of 3628

3628 = 2 x 2 x 907

Step 2: Find the prime factorization of 3632

3632 = 2 x 2 x 2 x 2 x 227

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

LCM = 3294224 = 2 x 2 x 2 x 2 x 227 x 907

Step 4: Therefore, the least common multiple of 3628 and 3632 is 3294224.