Least Common Multiple of 3653 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 3653 and 3660 the smallest integer that is 13369980 that is divisible by both numbers.

Least Common Multiple (LCM) of 3653 and 3660 is 13369980.

LCM(3653,3660) = 13369980

LCM of 3653 and 3660

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

LCM of:
and

Least Common Multiple of 3653 and 3660

LCM of 3653 and 3660 is 13369980

Least common multiple can be found by multiplying the highest exponent prime factors of 3653 and 3660. First we will calculate the prime factors of 3653 and 3660.

Prime Factorization of 3653


13 3653
281 281
1

Prime factors of 3653 are 13,281. Prime factorization of 3653 in exponential form is:

3653 = 131×2811

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 3653 and 3660.

LCM(3653,3660) = 22×31×51×131×611×2811
LCM(3653,3660) = 13369980

Factors of 3653

List of positive integer factors of 3653 that divides 3653 without a remainder.

1, 13, 281, 3653

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 3653 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 3653 and 3660, than apply into the LCM equation.

GCF(3653,3660) = 1
LCM(3653,3660) = ( 3653 × 3660) / 1
LCM(3653,3660) = 13369980 / 1
LCM(3653,3660) = 13369980

Properties of LCM 3653 and 3660

(i) The LCM of 3660 and 3653 is associative

LCM of 3653 and 3660 = LCM of 3660 and 3653

Related Least Common Multiples of 3653

Related Least Common Multiples of 3660

Frequently Asked Questions on LCM of 3653 and 3660

1. What is the LCM of 3653 and 3660?

Answer: LCM of 3653 and 3660 is 13369980.

2. What are the Factors of 3653?

Answer: Factors of 3653 are 1, 13, 281, 3653. There are 4 integers that are factors of 3653. The greatest factor of 3653 is 3653.

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 3653 and 3660?

Answer:

Least Common Multiple of 3653 and 3660 = 13369980

Step 1: Find the prime factorization of 3653

3653 = 13 x 281

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 = 13369980 = 2 x 2 x 3 x 5 x 13 x 61 x 281

Step 4: Therefore, the least common multiple of 3653 and 3660 is 13369980.