Least Common Multiple of 3561 and 3565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3561 and 3565 the smallest integer that is 12694965 that is divisible by both numbers.

Least Common Multiple (LCM) of 3561 and 3565 is 12694965.

LCM(3561,3565) = 12694965

LCM of 3561 and 3565

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

LCM of:
and

Least Common Multiple of 3561 and 3565

LCM of 3561 and 3565 is 12694965

Least common multiple can be found by multiplying the highest exponent prime factors of 3561 and 3565. First we will calculate the prime factors of 3561 and 3565.

Prime Factorization of 3561


3 3561
1187 1187
1

Prime factors of 3561 are 3,1187. Prime factorization of 3561 in exponential form is:

3561 = 31×11871

Prime Factorization of 3565


5 3565
23 713
31 31
1

Prime factors of 3565 are 5, 23,31. Prime factorization of 3565 in exponential form is:

3565 = 51×231×311

Now multiplying the highest exponent prime factors to calculate the LCM of 3561 and 3565.

LCM(3561,3565) = 31×51×231×311×11871
LCM(3561,3565) = 12694965

Factors of 3561

List of positive integer factors of 3561 that divides 3561 without a remainder.

1, 3, 1187, 3561

Factors of 3565

List of positive integer factors of 3565 that divides 3565 without a remainder.

1, 5, 23, 31, 115, 155, 713, 3565

Least Common Multiple of 3561 and 3565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3561 and 3565, than apply into the LCM equation.

GCF(3561,3565) = 1
LCM(3561,3565) = ( 3561 × 3565) / 1
LCM(3561,3565) = 12694965 / 1
LCM(3561,3565) = 12694965

Properties of LCM 3561 and 3565

(i) The LCM of 3565 and 3561 is associative

LCM of 3561 and 3565 = LCM of 3565 and 3561

Related Least Common Multiples of 3561

Related Least Common Multiples of 3565

Frequently Asked Questions on LCM of 3561 and 3565

1. What is the LCM of 3561 and 3565?

Answer: LCM of 3561 and 3565 is 12694965.

2. What are the Factors of 3561?

Answer: Factors of 3561 are 1, 3, 1187, 3561. There are 4 integers that are factors of 3561. The greatest factor of 3561 is 3561.

3. What are the Factors of 3565?

Answer: Factors of 3565 are 1, 5, 23, 31, 115, 155, 713, 3565. There are 8 integers that are factors of 3565. The greatest factor of 3565 is 3565.

4. How to Find the LCM of 3561 and 3565?

Answer:

Least Common Multiple of 3561 and 3565 = 12694965

Step 1: Find the prime factorization of 3561

3561 = 3 x 1187

Step 2: Find the prime factorization of 3565

3565 = 5 x 23 x 31

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

LCM = 12694965 = 3 x 5 x 23 x 31 x 1187

Step 4: Therefore, the least common multiple of 3561 and 3565 is 12694965.