Least Common Multiple of 3654 and 3659

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 3659 the smallest integer that is 13369986 that is divisible by both numbers.

Least Common Multiple (LCM) of 3654 and 3659 is 13369986.

LCM(3654,3659) = 13369986

LCM of 3654 and 3659

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

LCM of:
and

Least Common Multiple of 3654 and 3659

LCM of 3654 and 3659 is 13369986

Least common multiple can be found by multiplying the highest exponent prime factors of 3654 and 3659. First we will calculate the prime factors of 3654 and 3659.

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 3659


3659 3659
1

Prime factors of 3659 are 3659. Prime factorization of 3659 in exponential form is:

3659 = 36591

Now multiplying the highest exponent prime factors to calculate the LCM of 3654 and 3659.

LCM(3654,3659) = 21×32×71×291×36591
LCM(3654,3659) = 13369986

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 3659

List of positive integer factors of 3659 that divides 3659 without a remainder.

1, 3659

Least Common Multiple of 3654 and 3659 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 3659, than apply into the LCM equation.

GCF(3654,3659) = 1
LCM(3654,3659) = ( 3654 × 3659) / 1
LCM(3654,3659) = 13369986 / 1
LCM(3654,3659) = 13369986

Properties of LCM 3654 and 3659

(i) The LCM of 3659 and 3654 is associative

LCM of 3654 and 3659 = LCM of 3659 and 3654

Related Least Common Multiples of 3654

Related Least Common Multiples of 3659

Frequently Asked Questions on LCM of 3654 and 3659

1. What is the LCM of 3654 and 3659?

Answer: LCM of 3654 and 3659 is 13369986.

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 3659?

Answer: Factors of 3659 are 1, 3659. There are 2 integers that are factors of 3659. The greatest factor of 3659 is 3659.

4. How to Find the LCM of 3654 and 3659?

Answer:

Least Common Multiple of 3654 and 3659 = 13369986

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 3659

3659 = 3659

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

LCM = 13369986 = 2 x 3 x 3 x 7 x 29 x 3659

Step 4: Therefore, the least common multiple of 3654 and 3659 is 13369986.