Least Common Multiple of 3654 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 3654 and 3660 the smallest integer that is 2228940 that is divisible by both numbers.

Least Common Multiple (LCM) of 3654 and 3660 is 2228940.

LCM(3654,3660) = 2228940

LCM of 3654 and 3660

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

LCM of:
and

Least Common Multiple of 3654 and 3660

LCM of 3654 and 3660 is 2228940

Least common multiple can be found by multiplying the highest exponent prime factors of 3654 and 3660. First we will calculate the prime factors of 3654 and 3660.

Prime Factorization of 3654


2 3654
3 1827
3 609
7 203
29 29
1

Prime factors of 3654 are 2, 3, 7,29. Prime factorization of 3654 in exponential form is:

3654 = 21×32×71×291

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 3654 and 3660.

LCM(3654,3660) = 22×32×51×71×291×611
LCM(3654,3660) = 2228940

Factors of 3654

List of positive integer factors of 3654 that divides 3654 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 29, 42, 58, 63, 87, 126, 174, 203, 261, 406, 522, 609, 1218, 1827, 3654

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 3654 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 3654 and 3660, than apply into the LCM equation.

GCF(3654,3660) = 6
LCM(3654,3660) = ( 3654 × 3660) / 6
LCM(3654,3660) = 13373640 / 6
LCM(3654,3660) = 2228940

Properties of LCM 3654 and 3660

(i) The LCM of 3660 and 3654 is associative

LCM of 3654 and 3660 = LCM of 3660 and 3654

Related Least Common Multiples of 3654

Related Least Common Multiples of 3660

Frequently Asked Questions on LCM of 3654 and 3660

1. What is the LCM of 3654 and 3660?

Answer: LCM of 3654 and 3660 is 2228940.

2. What are the Factors of 3654?

Answer: Factors of 3654 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 29, 42, 58, 63, 87, 126, 174, 203, 261, 406, 522, 609, 1218, 1827, 3654. There are 24 integers that are factors of 3654. The greatest factor of 3654 is 3654.

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 3654 and 3660?

Answer:

Least Common Multiple of 3654 and 3660 = 2228940

Step 1: Find the prime factorization of 3654

3654 = 2 x 3 x 3 x 7 x 29

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 = 2228940 = 2 x 2 x 3 x 3 x 5 x 7 x 29 x 61

Step 4: Therefore, the least common multiple of 3654 and 3660 is 2228940.