Least Common Multiple of 3555 and 3563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3555 and 3563 the smallest integer that is 12666465 that is divisible by both numbers.

Least Common Multiple (LCM) of 3555 and 3563 is 12666465.

LCM(3555,3563) = 12666465

LCM of 3555 and 3563

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

LCM of:
and

Least Common Multiple of 3555 and 3563

LCM of 3555 and 3563 is 12666465

Least common multiple can be found by multiplying the highest exponent prime factors of 3555 and 3563. First we will calculate the prime factors of 3555 and 3563.

Prime Factorization of 3555


3 3555
3 1185
5 395
79 79
1

Prime factors of 3555 are 3, 5,79. Prime factorization of 3555 in exponential form is:

3555 = 32×51×791

Prime Factorization of 3563


7 3563
509 509
1

Prime factors of 3563 are 7,509. Prime factorization of 3563 in exponential form is:

3563 = 71×5091

Now multiplying the highest exponent prime factors to calculate the LCM of 3555 and 3563.

LCM(3555,3563) = 32×51×71×791×5091
LCM(3555,3563) = 12666465

Factors of 3555

List of positive integer factors of 3555 that divides 3555 without a remainder.

1, 3, 5, 9, 15, 45, 79, 237, 395, 711, 1185, 3555

Factors of 3563

List of positive integer factors of 3563 that divides 3563 without a remainder.

1, 7, 509, 3563

Least Common Multiple of 3555 and 3563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3555 and 3563, than apply into the LCM equation.

GCF(3555,3563) = 1
LCM(3555,3563) = ( 3555 × 3563) / 1
LCM(3555,3563) = 12666465 / 1
LCM(3555,3563) = 12666465

Properties of LCM 3555 and 3563

(i) The LCM of 3563 and 3555 is associative

LCM of 3555 and 3563 = LCM of 3563 and 3555

Related Least Common Multiples of 3555

Related Least Common Multiples of 3563

Frequently Asked Questions on LCM of 3555 and 3563

1. What is the LCM of 3555 and 3563?

Answer: LCM of 3555 and 3563 is 12666465.

2. What are the Factors of 3555?

Answer: Factors of 3555 are 1, 3, 5, 9, 15, 45, 79, 237, 395, 711, 1185, 3555. There are 12 integers that are factors of 3555. The greatest factor of 3555 is 3555.

3. What are the Factors of 3563?

Answer: Factors of 3563 are 1, 7, 509, 3563. There are 4 integers that are factors of 3563. The greatest factor of 3563 is 3563.

4. How to Find the LCM of 3555 and 3563?

Answer:

Least Common Multiple of 3555 and 3563 = 12666465

Step 1: Find the prime factorization of 3555

3555 = 3 x 3 x 5 x 79

Step 2: Find the prime factorization of 3563

3563 = 7 x 509

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

LCM = 12666465 = 3 x 3 x 5 x 7 x 79 x 509

Step 4: Therefore, the least common multiple of 3555 and 3563 is 12666465.