Least Common Multiple of 3643 and 3651

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3643 and 3651 the smallest integer that is 13300593 that is divisible by both numbers.

Least Common Multiple (LCM) of 3643 and 3651 is 13300593.

LCM(3643,3651) = 13300593

LCM of 3643 and 3651

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

LCM of:
and

Least Common Multiple of 3643 and 3651

LCM of 3643 and 3651 is 13300593

Least common multiple can be found by multiplying the highest exponent prime factors of 3643 and 3651. First we will calculate the prime factors of 3643 and 3651.

Prime Factorization of 3643


3643 3643
1

Prime factors of 3643 are 3643. Prime factorization of 3643 in exponential form is:

3643 = 36431

Prime Factorization of 3651


3 3651
1217 1217
1

Prime factors of 3651 are 3,1217. Prime factorization of 3651 in exponential form is:

3651 = 31×12171

Now multiplying the highest exponent prime factors to calculate the LCM of 3643 and 3651.

LCM(3643,3651) = 31×12171×36431
LCM(3643,3651) = 13300593

Factors of 3643

List of positive integer factors of 3643 that divides 3643 without a remainder.

1, 3643

Factors of 3651

List of positive integer factors of 3651 that divides 3651 without a remainder.

1, 3, 1217, 3651

Least Common Multiple of 3643 and 3651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3643 and 3651, than apply into the LCM equation.

GCF(3643,3651) = 1
LCM(3643,3651) = ( 3643 × 3651) / 1
LCM(3643,3651) = 13300593 / 1
LCM(3643,3651) = 13300593

Properties of LCM 3643 and 3651

(i) The LCM of 3651 and 3643 is associative

LCM of 3643 and 3651 = LCM of 3651 and 3643

Related Least Common Multiples of 3643

Related Least Common Multiples of 3651

Frequently Asked Questions on LCM of 3643 and 3651

1. What is the LCM of 3643 and 3651?

Answer: LCM of 3643 and 3651 is 13300593.

2. What are the Factors of 3643?

Answer: Factors of 3643 are 1, 3643. There are 2 integers that are factors of 3643. The greatest factor of 3643 is 3643.

3. What are the Factors of 3651?

Answer: Factors of 3651 are 1, 3, 1217, 3651. There are 4 integers that are factors of 3651. The greatest factor of 3651 is 3651.

4. How to Find the LCM of 3643 and 3651?

Answer:

Least Common Multiple of 3643 and 3651 = 13300593

Step 1: Find the prime factorization of 3643

3643 = 3643

Step 2: Find the prime factorization of 3651

3651 = 3 x 1217

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

LCM = 13300593 = 3 x 1217 x 3643

Step 4: Therefore, the least common multiple of 3643 and 3651 is 13300593.