Least Common Multiple of 3617 and 3621

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 3621 the smallest integer that is 13097157 that is divisible by both numbers.

Least Common Multiple (LCM) of 3617 and 3621 is 13097157.

LCM(3617,3621) = 13097157

LCM of 3617 and 3621

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

LCM of:
and

Least Common Multiple of 3617 and 3621

LCM of 3617 and 3621 is 13097157

Least common multiple can be found by multiplying the highest exponent prime factors of 3617 and 3621. First we will calculate the prime factors of 3617 and 3621.

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 3621


3 3621
17 1207
71 71
1

Prime factors of 3621 are 3, 17,71. Prime factorization of 3621 in exponential form is:

3621 = 31×171×711

Now multiplying the highest exponent prime factors to calculate the LCM of 3617 and 3621.

LCM(3617,3621) = 31×171×711×36171
LCM(3617,3621) = 13097157

Factors of 3617

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

1, 3617

Factors of 3621

List of positive integer factors of 3621 that divides 3621 without a remainder.

1, 3, 17, 51, 71, 213, 1207, 3621

Least Common Multiple of 3617 and 3621 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 3621, than apply into the LCM equation.

GCF(3617,3621) = 1
LCM(3617,3621) = ( 3617 × 3621) / 1
LCM(3617,3621) = 13097157 / 1
LCM(3617,3621) = 13097157

Properties of LCM 3617 and 3621

(i) The LCM of 3621 and 3617 is associative

LCM of 3617 and 3621 = LCM of 3621 and 3617

Related Least Common Multiples of 3617

Related Least Common Multiples of 3621

Frequently Asked Questions on LCM of 3617 and 3621

1. What is the LCM of 3617 and 3621?

Answer: LCM of 3617 and 3621 is 13097157.

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 3621?

Answer: Factors of 3621 are 1, 3, 17, 51, 71, 213, 1207, 3621. There are 8 integers that are factors of 3621. The greatest factor of 3621 is 3621.

4. How to Find the LCM of 3617 and 3621?

Answer:

Least Common Multiple of 3617 and 3621 = 13097157

Step 1: Find the prime factorization of 3617

3617 = 3617

Step 2: Find the prime factorization of 3621

3621 = 3 x 17 x 71

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

LCM = 13097157 = 3 x 17 x 71 x 3617

Step 4: Therefore, the least common multiple of 3617 and 3621 is 13097157.