Least Common Multiple of 3653 and 3654

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 3654 the smallest integer that is 13348062 that is divisible by both numbers.

Least Common Multiple (LCM) of 3653 and 3654 is 13348062.

LCM(3653,3654) = 13348062

LCM of 3653 and 3654

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

LCM of:
and

Least Common Multiple of 3653 and 3654

LCM of 3653 and 3654 is 13348062

Least common multiple can be found by multiplying the highest exponent prime factors of 3653 and 3654. First we will calculate the prime factors of 3653 and 3654.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 3653 and 3654.

LCM(3653,3654) = 21×32×71×131×291×2811
LCM(3653,3654) = 13348062

Factors of 3653

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

1, 13, 281, 3653

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

Least Common Multiple of 3653 and 3654 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 3654, than apply into the LCM equation.

GCF(3653,3654) = 1
LCM(3653,3654) = ( 3653 × 3654) / 1
LCM(3653,3654) = 13348062 / 1
LCM(3653,3654) = 13348062

Properties of LCM 3653 and 3654

(i) The LCM of 3654 and 3653 is associative

LCM of 3653 and 3654 = LCM of 3654 and 3653

Related Least Common Multiples of 3653

Related Least Common Multiples of 3654

Frequently Asked Questions on LCM of 3653 and 3654

1. What is the LCM of 3653 and 3654?

Answer: LCM of 3653 and 3654 is 13348062.

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 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.

4. How to Find the LCM of 3653 and 3654?

Answer:

Least Common Multiple of 3653 and 3654 = 13348062

Step 1: Find the prime factorization of 3653

3653 = 13 x 281

Step 2: Find the prime factorization of 3654

3654 = 2 x 3 x 3 x 7 x 29

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

LCM = 13348062 = 2 x 3 x 3 x 7 x 13 x 29 x 281

Step 4: Therefore, the least common multiple of 3653 and 3654 is 13348062.