Least Common Multiple of 1561 and 1568

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 1568 the smallest integer that is 349664 that is divisible by both numbers.

Least Common Multiple (LCM) of 1561 and 1568 is 349664.

LCM(1561,1568) = 349664

LCM of 1561 and 1568

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

LCM of:
and

Least Common Multiple of 1561 and 1568

LCM of 1561 and 1568 is 349664

Least common multiple can be found by multiplying the highest exponent prime factors of 1561 and 1568. First we will calculate the prime factors of 1561 and 1568.

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 1568


2 1568
2 784
2 392
2 196
2 98
7 49
7 7
1

Prime factors of 1568 are 2,7. Prime factorization of 1568 in exponential form is:

1568 = 25×72

Now multiplying the highest exponent prime factors to calculate the LCM of 1561 and 1568.

LCM(1561,1568) = 25×72×2231
LCM(1561,1568) = 349664

Factors of 1561

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

1, 7, 223, 1561

Factors of 1568

List of positive integer factors of 1568 that divides 1568 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 98, 112, 196, 224, 392, 784, 1568

Least Common Multiple of 1561 and 1568 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 1568, than apply into the LCM equation.

GCF(1561,1568) = 7
LCM(1561,1568) = ( 1561 × 1568) / 7
LCM(1561,1568) = 2447648 / 7
LCM(1561,1568) = 349664

Properties of LCM 1561 and 1568

(i) The LCM of 1568 and 1561 is associative

LCM of 1561 and 1568 = LCM of 1568 and 1561

Related Least Common Multiples of 1561

Related Least Common Multiples of 1568

Frequently Asked Questions on LCM of 1561 and 1568

1. What is the LCM of 1561 and 1568?

Answer: LCM of 1561 and 1568 is 349664.

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 1568?

Answer: Factors of 1568 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 98, 112, 196, 224, 392, 784, 1568. There are 18 integers that are factors of 1568. The greatest factor of 1568 is 1568.

4. How to Find the LCM of 1561 and 1568?

Answer:

Least Common Multiple of 1561 and 1568 = 349664

Step 1: Find the prime factorization of 1561

1561 = 7 x 223

Step 2: Find the prime factorization of 1568

1568 = 2 x 2 x 2 x 2 x 2 x 7 x 7

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

LCM = 349664 = 2 x 2 x 2 x 2 x 2 x 7 x 7 x 223

Step 4: Therefore, the least common multiple of 1561 and 1568 is 349664.