Least Common Multiple of 1561 and 1569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1561 and 1569 the smallest integer that is 2449209 that is divisible by both numbers.

Least Common Multiple (LCM) of 1561 and 1569 is 2449209.

LCM(1561,1569) = 2449209

LCM of 1561 and 1569

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

LCM of:
and

Least Common Multiple of 1561 and 1569

LCM of 1561 and 1569 is 2449209

Least common multiple can be found by multiplying the highest exponent prime factors of 1561 and 1569. First we will calculate the prime factors of 1561 and 1569.

Prime Factorization of 1561


7 1561
223 223
1

Prime factors of 1561 are 7,223. Prime factorization of 1561 in exponential form is:

1561 = 71×2231

Prime Factorization of 1569


3 1569
523 523
1

Prime factors of 1569 are 3,523. Prime factorization of 1569 in exponential form is:

1569 = 31×5231

Now multiplying the highest exponent prime factors to calculate the LCM of 1561 and 1569.

LCM(1561,1569) = 31×71×2231×5231
LCM(1561,1569) = 2449209

Factors of 1561

List of positive integer factors of 1561 that divides 1561 without a remainder.

1, 7, 223, 1561

Factors of 1569

List of positive integer factors of 1569 that divides 1569 without a remainder.

1, 3, 523, 1569

Least Common Multiple of 1561 and 1569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1561 and 1569, than apply into the LCM equation.

GCF(1561,1569) = 1
LCM(1561,1569) = ( 1561 × 1569) / 1
LCM(1561,1569) = 2449209 / 1
LCM(1561,1569) = 2449209

Properties of LCM 1561 and 1569

(i) The LCM of 1569 and 1561 is associative

LCM of 1561 and 1569 = LCM of 1569 and 1561

Related Least Common Multiples of 1561

Related Least Common Multiples of 1569

Frequently Asked Questions on LCM of 1561 and 1569

1. What is the LCM of 1561 and 1569?

Answer: LCM of 1561 and 1569 is 2449209.

2. What are the Factors of 1561?

Answer: Factors of 1561 are 1, 7, 223, 1561. There are 4 integers that are factors of 1561. The greatest factor of 1561 is 1561.

3. What are the Factors of 1569?

Answer: Factors of 1569 are 1, 3, 523, 1569. There are 4 integers that are factors of 1569. The greatest factor of 1569 is 1569.

4. How to Find the LCM of 1561 and 1569?

Answer:

Least Common Multiple of 1561 and 1569 = 2449209

Step 1: Find the prime factorization of 1561

1561 = 7 x 223

Step 2: Find the prime factorization of 1569

1569 = 3 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 = 2449209 = 3 x 7 x 223 x 523

Step 4: Therefore, the least common multiple of 1561 and 1569 is 2449209.