Least Common Multiple of 3625 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 3625 and 3632 the smallest integer that is 13166000 that is divisible by both numbers.

Least Common Multiple (LCM) of 3625 and 3632 is 13166000.

LCM(3625,3632) = 13166000

LCM of 3625 and 3632

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

LCM of:
and

Least Common Multiple of 3625 and 3632

LCM of 3625 and 3632 is 13166000

Least common multiple can be found by multiplying the highest exponent prime factors of 3625 and 3632. First we will calculate the prime factors of 3625 and 3632.

Prime Factorization of 3625


5 3625
5 725
5 145
29 29
1

Prime factors of 3625 are 5,29. Prime factorization of 3625 in exponential form is:

3625 = 53×291

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 3625 and 3632.

LCM(3625,3632) = 24×53×291×2271
LCM(3625,3632) = 13166000

Factors of 3625

List of positive integer factors of 3625 that divides 3625 without a remainder.

1, 5, 25, 29, 125, 145, 725, 3625

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 3625 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 3625 and 3632, than apply into the LCM equation.

GCF(3625,3632) = 1
LCM(3625,3632) = ( 3625 × 3632) / 1
LCM(3625,3632) = 13166000 / 1
LCM(3625,3632) = 13166000

Properties of LCM 3625 and 3632

(i) The LCM of 3632 and 3625 is associative

LCM of 3625 and 3632 = LCM of 3632 and 3625

Related Least Common Multiples of 3625

Related Least Common Multiples of 3632

Frequently Asked Questions on LCM of 3625 and 3632

1. What is the LCM of 3625 and 3632?

Answer: LCM of 3625 and 3632 is 13166000.

2. What are the Factors of 3625?

Answer: Factors of 3625 are 1, 5, 25, 29, 125, 145, 725, 3625. There are 8 integers that are factors of 3625. The greatest factor of 3625 is 3625.

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 3625 and 3632?

Answer:

Least Common Multiple of 3625 and 3632 = 13166000

Step 1: Find the prime factorization of 3625

3625 = 5 x 5 x 5 x 29

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 = 13166000 = 2 x 2 x 2 x 2 x 5 x 5 x 5 x 29 x 227

Step 4: Therefore, the least common multiple of 3625 and 3632 is 13166000.