Least Common Multiple of 3660 and 3661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3660 and 3661 the smallest integer that is 13399260 that is divisible by both numbers.

Least Common Multiple (LCM) of 3660 and 3661 is 13399260.

LCM(3660,3661) = 13399260

LCM of 3660 and 3661

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

LCM of:
and

Least Common Multiple of 3660 and 3661

LCM of 3660 and 3661 is 13399260

Least common multiple can be found by multiplying the highest exponent prime factors of 3660 and 3661. First we will calculate the prime factors of 3660 and 3661.

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

Prime Factorization of 3661


7 3661
523 523
1

Prime factors of 3661 are 7,523. Prime factorization of 3661 in exponential form is:

3661 = 71×5231

Now multiplying the highest exponent prime factors to calculate the LCM of 3660 and 3661.

LCM(3660,3661) = 22×31×51×71×611×5231
LCM(3660,3661) = 13399260

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

Factors of 3661

List of positive integer factors of 3661 that divides 3661 without a remainder.

1, 7, 523, 3661

Least Common Multiple of 3660 and 3661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3660 and 3661, than apply into the LCM equation.

GCF(3660,3661) = 1
LCM(3660,3661) = ( 3660 × 3661) / 1
LCM(3660,3661) = 13399260 / 1
LCM(3660,3661) = 13399260

Properties of LCM 3660 and 3661

(i) The LCM of 3661 and 3660 is associative

LCM of 3660 and 3661 = LCM of 3661 and 3660

Related Least Common Multiples of 3660

Related Least Common Multiples of 3661

Frequently Asked Questions on LCM of 3660 and 3661

1. What is the LCM of 3660 and 3661?

Answer: LCM of 3660 and 3661 is 13399260.

2. 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.

3. What are the Factors of 3661?

Answer: Factors of 3661 are 1, 7, 523, 3661. There are 4 integers that are factors of 3661. The greatest factor of 3661 is 3661.

4. How to Find the LCM of 3660 and 3661?

Answer:

Least Common Multiple of 3660 and 3661 = 13399260

Step 1: Find the prime factorization of 3660

3660 = 2 x 2 x 3 x 5 x 61

Step 2: Find the prime factorization of 3661

3661 = 7 x 523

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

LCM = 13399260 = 2 x 2 x 3 x 5 x 7 x 61 x 523

Step 4: Therefore, the least common multiple of 3660 and 3661 is 13399260.