Least Common Multiple of 3660 and 3668

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 3668 the smallest integer that is 3356220 that is divisible by both numbers.

Least Common Multiple (LCM) of 3660 and 3668 is 3356220.

LCM(3660,3668) = 3356220

LCM of 3660 and 3668

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

LCM of:
and

Least Common Multiple of 3660 and 3668

LCM of 3660 and 3668 is 3356220

Least common multiple can be found by multiplying the highest exponent prime factors of 3660 and 3668. First we will calculate the prime factors of 3660 and 3668.

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 3668


2 3668
2 1834
7 917
131 131
1

Prime factors of 3668 are 2, 7,131. Prime factorization of 3668 in exponential form is:

3668 = 22×71×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 3660 and 3668.

LCM(3660,3668) = 22×31×51×71×611×1311
LCM(3660,3668) = 3356220

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 3668

List of positive integer factors of 3668 that divides 3668 without a remainder.

1, 2, 4, 7, 14, 28, 131, 262, 524, 917, 1834, 3668

Least Common Multiple of 3660 and 3668 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 3668, than apply into the LCM equation.

GCF(3660,3668) = 4
LCM(3660,3668) = ( 3660 × 3668) / 4
LCM(3660,3668) = 13424880 / 4
LCM(3660,3668) = 3356220

Properties of LCM 3660 and 3668

(i) The LCM of 3668 and 3660 is associative

LCM of 3660 and 3668 = LCM of 3668 and 3660

Related Least Common Multiples of 3660

Related Least Common Multiples of 3668

Frequently Asked Questions on LCM of 3660 and 3668

1. What is the LCM of 3660 and 3668?

Answer: LCM of 3660 and 3668 is 3356220.

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 3668?

Answer: Factors of 3668 are 1, 2, 4, 7, 14, 28, 131, 262, 524, 917, 1834, 3668. There are 12 integers that are factors of 3668. The greatest factor of 3668 is 3668.

4. How to Find the LCM of 3660 and 3668?

Answer:

Least Common Multiple of 3660 and 3668 = 3356220

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 3668

3668 = 2 x 2 x 7 x 131

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

LCM = 3356220 = 2 x 2 x 3 x 5 x 7 x 61 x 131

Step 4: Therefore, the least common multiple of 3660 and 3668 is 3356220.