Least Common Multiple of 3561 and 3567

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 3567 the smallest integer that is 4234029 that is divisible by both numbers.

Least Common Multiple (LCM) of 3561 and 3567 is 4234029.

LCM(3561,3567) = 4234029

LCM of 3561 and 3567

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

LCM of:
and

Least Common Multiple of 3561 and 3567

LCM of 3561 and 3567 is 4234029

Least common multiple can be found by multiplying the highest exponent prime factors of 3561 and 3567. First we will calculate the prime factors of 3561 and 3567.

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 3567


3 3567
29 1189
41 41
1

Prime factors of 3567 are 3, 29,41. Prime factorization of 3567 in exponential form is:

3567 = 31×291×411

Now multiplying the highest exponent prime factors to calculate the LCM of 3561 and 3567.

LCM(3561,3567) = 31×291×411×11871
LCM(3561,3567) = 4234029

Factors of 3561

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

1, 3, 1187, 3561

Factors of 3567

List of positive integer factors of 3567 that divides 3567 without a remainder.

1, 3, 29, 41, 87, 123, 1189, 3567

Least Common Multiple of 3561 and 3567 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 3567, than apply into the LCM equation.

GCF(3561,3567) = 3
LCM(3561,3567) = ( 3561 × 3567) / 3
LCM(3561,3567) = 12702087 / 3
LCM(3561,3567) = 4234029

Properties of LCM 3561 and 3567

(i) The LCM of 3567 and 3561 is associative

LCM of 3561 and 3567 = LCM of 3567 and 3561

Frequently Asked Questions on LCM of 3561 and 3567

1. What is the LCM of 3561 and 3567?

Answer: LCM of 3561 and 3567 is 4234029.

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 3567?

Answer: Factors of 3567 are 1, 3, 29, 41, 87, 123, 1189, 3567. There are 8 integers that are factors of 3567. The greatest factor of 3567 is 3567.

4. How to Find the LCM of 3561 and 3567?

Answer:

Least Common Multiple of 3561 and 3567 = 4234029

Step 1: Find the prime factorization of 3561

3561 = 3 x 1187

Step 2: Find the prime factorization of 3567

3567 = 3 x 29 x 41

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

LCM = 4234029 = 3 x 29 x 41 x 1187

Step 4: Therefore, the least common multiple of 3561 and 3567 is 4234029.