Least Common Multiple of 3655 and 3660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3655 and 3660 the smallest integer that is 2675460 that is divisible by both numbers.

Least Common Multiple (LCM) of 3655 and 3660 is 2675460.

LCM(3655,3660) = 2675460

LCM of 3655 and 3660

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

LCM of:
and

Least Common Multiple of 3655 and 3660

LCM of 3655 and 3660 is 2675460

Least common multiple can be found by multiplying the highest exponent prime factors of 3655 and 3660. First we will calculate the prime factors of 3655 and 3660.

Prime Factorization of 3655


5 3655
17 731
43 43
1

Prime factors of 3655 are 5, 17,43. Prime factorization of 3655 in exponential form is:

3655 = 51×171×431

Prime Factorization of 3660


2 3660
2 1830
3 915
5 305
61 61
1

Prime factors of 3660 are 2, 3, 5,61. Prime factorization of 3660 in exponential form is:

3660 = 22×31×51×611

Now multiplying the highest exponent prime factors to calculate the LCM of 3655 and 3660.

LCM(3655,3660) = 22×31×51×171×431×611
LCM(3655,3660) = 2675460

Factors of 3655

List of positive integer factors of 3655 that divides 3655 without a remainder.

1, 5, 17, 43, 85, 215, 731, 3655

Factors of 3660

List of positive integer factors of 3660 that divides 3660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 61, 122, 183, 244, 305, 366, 610, 732, 915, 1220, 1830, 3660

Least Common Multiple of 3655 and 3660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3655 and 3660, than apply into the LCM equation.

GCF(3655,3660) = 5
LCM(3655,3660) = ( 3655 × 3660) / 5
LCM(3655,3660) = 13377300 / 5
LCM(3655,3660) = 2675460

Properties of LCM 3655 and 3660

(i) The LCM of 3660 and 3655 is associative

LCM of 3655 and 3660 = LCM of 3660 and 3655

Related Least Common Multiples of 3655

Related Least Common Multiples of 3660

Frequently Asked Questions on LCM of 3655 and 3660

1. What is the LCM of 3655 and 3660?

Answer: LCM of 3655 and 3660 is 2675460.

2. What are the Factors of 3655?

Answer: Factors of 3655 are 1, 5, 17, 43, 85, 215, 731, 3655. There are 8 integers that are factors of 3655. The greatest factor of 3655 is 3655.

3. What are the Factors of 3660?

Answer: Factors of 3660 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 61, 122, 183, 244, 305, 366, 610, 732, 915, 1220, 1830, 3660. There are 24 integers that are factors of 3660. The greatest factor of 3660 is 3660.

4. How to Find the LCM of 3655 and 3660?

Answer:

Least Common Multiple of 3655 and 3660 = 2675460

Step 1: Find the prime factorization of 3655

3655 = 5 x 17 x 43

Step 2: Find the prime factorization of 3660

3660 = 2 x 2 x 3 x 5 x 61

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

LCM = 2675460 = 2 x 2 x 3 x 5 x 17 x 43 x 61

Step 4: Therefore, the least common multiple of 3655 and 3660 is 2675460.