Least Common Multiple of 3653 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 3653 and 3661 the smallest integer that is 13373633 that is divisible by both numbers.

Least Common Multiple (LCM) of 3653 and 3661 is 13373633.

LCM(3653,3661) = 13373633

LCM of 3653 and 3661

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

LCM of:
and

Least Common Multiple of 3653 and 3661

LCM of 3653 and 3661 is 13373633

Least common multiple can be found by multiplying the highest exponent prime factors of 3653 and 3661. First we will calculate the prime factors of 3653 and 3661.

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 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 3653 and 3661.

LCM(3653,3661) = 71×131×2811×5231
LCM(3653,3661) = 13373633

Factors of 3653

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

1, 13, 281, 3653

Factors of 3661

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

1, 7, 523, 3661

Least Common Multiple of 3653 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 3653 and 3661, than apply into the LCM equation.

GCF(3653,3661) = 1
LCM(3653,3661) = ( 3653 × 3661) / 1
LCM(3653,3661) = 13373633 / 1
LCM(3653,3661) = 13373633

Properties of LCM 3653 and 3661

(i) The LCM of 3661 and 3653 is associative

LCM of 3653 and 3661 = LCM of 3661 and 3653

Related Least Common Multiples of 3653

Related Least Common Multiples of 3661

Frequently Asked Questions on LCM of 3653 and 3661

1. What is the LCM of 3653 and 3661?

Answer: LCM of 3653 and 3661 is 13373633.

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 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 3653 and 3661?

Answer:

Least Common Multiple of 3653 and 3661 = 13373633

Step 1: Find the prime factorization of 3653

3653 = 13 x 281

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 = 13373633 = 7 x 13 x 281 x 523

Step 4: Therefore, the least common multiple of 3653 and 3661 is 13373633.