Least Common Multiple of 3618 and 3625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3618 and 3625 the smallest integer that is 13115250 that is divisible by both numbers.

Least Common Multiple (LCM) of 3618 and 3625 is 13115250.

LCM(3618,3625) = 13115250

LCM of 3618 and 3625

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

LCM of:
and

Least Common Multiple of 3618 and 3625

LCM of 3618 and 3625 is 13115250

Least common multiple can be found by multiplying the highest exponent prime factors of 3618 and 3625. First we will calculate the prime factors of 3618 and 3625.

Prime Factorization of 3618


2 3618
3 1809
3 603
3 201
67 67
1

Prime factors of 3618 are 2, 3,67. Prime factorization of 3618 in exponential form is:

3618 = 21×33×671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3618 and 3625.

LCM(3618,3625) = 21×33×53×291×671
LCM(3618,3625) = 13115250

Factors of 3618

List of positive integer factors of 3618 that divides 3618 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 67, 134, 201, 402, 603, 1206, 1809, 3618

Factors of 3625

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

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

Least Common Multiple of 3618 and 3625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3618 and 3625, than apply into the LCM equation.

GCF(3618,3625) = 1
LCM(3618,3625) = ( 3618 × 3625) / 1
LCM(3618,3625) = 13115250 / 1
LCM(3618,3625) = 13115250

Properties of LCM 3618 and 3625

(i) The LCM of 3625 and 3618 is associative

LCM of 3618 and 3625 = LCM of 3625 and 3618

Related Least Common Multiples of 3618

Related Least Common Multiples of 3625

Frequently Asked Questions on LCM of 3618 and 3625

1. What is the LCM of 3618 and 3625?

Answer: LCM of 3618 and 3625 is 13115250.

2. What are the Factors of 3618?

Answer: Factors of 3618 are 1, 2, 3, 6, 9, 18, 27, 54, 67, 134, 201, 402, 603, 1206, 1809, 3618. There are 16 integers that are factors of 3618. The greatest factor of 3618 is 3618.

3. 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.

4. How to Find the LCM of 3618 and 3625?

Answer:

Least Common Multiple of 3618 and 3625 = 13115250

Step 1: Find the prime factorization of 3618

3618 = 2 x 3 x 3 x 3 x 67

Step 2: Find the prime factorization of 3625

3625 = 5 x 5 x 5 x 29

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

LCM = 13115250 = 2 x 3 x 3 x 3 x 5 x 5 x 5 x 29 x 67

Step 4: Therefore, the least common multiple of 3618 and 3625 is 13115250.