Least Common Multiple of 3625 and 3630

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 3630 the smallest integer that is 2631750 that is divisible by both numbers.

Least Common Multiple (LCM) of 3625 and 3630 is 2631750.

LCM(3625,3630) = 2631750

LCM of 3625 and 3630

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

LCM of:
and

Least Common Multiple of 3625 and 3630

LCM of 3625 and 3630 is 2631750

Least common multiple can be found by multiplying the highest exponent prime factors of 3625 and 3630. First we will calculate the prime factors of 3625 and 3630.

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 3630


2 3630
3 1815
5 605
11 121
11 11
1

Prime factors of 3630 are 2, 3, 5,11. Prime factorization of 3630 in exponential form is:

3630 = 21×31×51×112

Now multiplying the highest exponent prime factors to calculate the LCM of 3625 and 3630.

LCM(3625,3630) = 21×31×53×112×291
LCM(3625,3630) = 2631750

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 3630

List of positive integer factors of 3630 that divides 3630 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 121, 165, 242, 330, 363, 605, 726, 1210, 1815, 3630

Least Common Multiple of 3625 and 3630 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 3630, than apply into the LCM equation.

GCF(3625,3630) = 5
LCM(3625,3630) = ( 3625 × 3630) / 5
LCM(3625,3630) = 13158750 / 5
LCM(3625,3630) = 2631750

Properties of LCM 3625 and 3630

(i) The LCM of 3630 and 3625 is associative

LCM of 3625 and 3630 = LCM of 3630 and 3625

Related Least Common Multiples of 3625

Related Least Common Multiples of 3630

Frequently Asked Questions on LCM of 3625 and 3630

1. What is the LCM of 3625 and 3630?

Answer: LCM of 3625 and 3630 is 2631750.

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 3630?

Answer: Factors of 3630 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 121, 165, 242, 330, 363, 605, 726, 1210, 1815, 3630. There are 24 integers that are factors of 3630. The greatest factor of 3630 is 3630.

4. How to Find the LCM of 3625 and 3630?

Answer:

Least Common Multiple of 3625 and 3630 = 2631750

Step 1: Find the prime factorization of 3625

3625 = 5 x 5 x 5 x 29

Step 2: Find the prime factorization of 3630

3630 = 2 x 3 x 5 x 11 x 11

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

LCM = 2631750 = 2 x 3 x 5 x 5 x 5 x 11 x 11 x 29

Step 4: Therefore, the least common multiple of 3625 and 3630 is 2631750.