Least Common Multiple of 3617 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 3617 and 3625 the smallest integer that is 13111625 that is divisible by both numbers.

Least Common Multiple (LCM) of 3617 and 3625 is 13111625.

LCM(3617,3625) = 13111625

LCM of 3617 and 3625

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

LCM of:
and

Least Common Multiple of 3617 and 3625

LCM of 3617 and 3625 is 13111625

Least common multiple can be found by multiplying the highest exponent prime factors of 3617 and 3625. First we will calculate the prime factors of 3617 and 3625.

Prime Factorization of 3617


3617 3617
1

Prime factors of 3617 are 3617. Prime factorization of 3617 in exponential form is:

3617 = 36171

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 3617 and 3625.

LCM(3617,3625) = 53×291×36171
LCM(3617,3625) = 13111625

Factors of 3617

List of positive integer factors of 3617 that divides 3617 without a remainder.

1, 3617

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 3617 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 3617 and 3625, than apply into the LCM equation.

GCF(3617,3625) = 1
LCM(3617,3625) = ( 3617 × 3625) / 1
LCM(3617,3625) = 13111625 / 1
LCM(3617,3625) = 13111625

Properties of LCM 3617 and 3625

(i) The LCM of 3625 and 3617 is associative

LCM of 3617 and 3625 = LCM of 3625 and 3617

Related Least Common Multiples of 3617

Related Least Common Multiples of 3625

Frequently Asked Questions on LCM of 3617 and 3625

1. What is the LCM of 3617 and 3625?

Answer: LCM of 3617 and 3625 is 13111625.

2. What are the Factors of 3617?

Answer: Factors of 3617 are 1, 3617. There are 2 integers that are factors of 3617. The greatest factor of 3617 is 3617.

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 3617 and 3625?

Answer:

Least Common Multiple of 3617 and 3625 = 13111625

Step 1: Find the prime factorization of 3617

3617 = 3617

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 = 13111625 = 5 x 5 x 5 x 29 x 3617

Step 4: Therefore, the least common multiple of 3617 and 3625 is 13111625.