Least Common Multiple of 7561 and 7568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7561 and 7568 the smallest integer that is 57221648 that is divisible by both numbers.

Least Common Multiple (LCM) of 7561 and 7568 is 57221648.

LCM(7561,7568) = 57221648

LCM of 7561 and 7568

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

LCM of:
and

Least Common Multiple of 7561 and 7568

LCM of 7561 and 7568 is 57221648

Least common multiple can be found by multiplying the highest exponent prime factors of 7561 and 7568. First we will calculate the prime factors of 7561 and 7568.

Prime Factorization of 7561


7561 7561
1

Prime factors of 7561 are 7561. Prime factorization of 7561 in exponential form is:

7561 = 75611

Prime Factorization of 7568


2 7568
2 3784
2 1892
2 946
11 473
43 43
1

Prime factors of 7568 are 2, 11,43. Prime factorization of 7568 in exponential form is:

7568 = 24×111×431

Now multiplying the highest exponent prime factors to calculate the LCM of 7561 and 7568.

LCM(7561,7568) = 24×111×431×75611
LCM(7561,7568) = 57221648

Factors of 7561

List of positive integer factors of 7561 that divides 7561 without a remainder.

1, 7561

Factors of 7568

List of positive integer factors of 7568 that divides 7568 without a remainder.

1, 2, 4, 8, 11, 16, 22, 43, 44, 86, 88, 172, 176, 344, 473, 688, 946, 1892, 3784, 7568

Least Common Multiple of 7561 and 7568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7561 and 7568, than apply into the LCM equation.

GCF(7561,7568) = 1
LCM(7561,7568) = ( 7561 × 7568) / 1
LCM(7561,7568) = 57221648 / 1
LCM(7561,7568) = 57221648

Properties of LCM 7561 and 7568

(i) The LCM of 7568 and 7561 is associative

LCM of 7561 and 7568 = LCM of 7568 and 7561

Related Least Common Multiples of 7561

Related Least Common Multiples of 7568

Frequently Asked Questions on LCM of 7561 and 7568

1. What is the LCM of 7561 and 7568?

Answer: LCM of 7561 and 7568 is 57221648.

2. What are the Factors of 7561?

Answer: Factors of 7561 are 1, 7561. There are 2 integers that are factors of 7561. The greatest factor of 7561 is 7561.

3. What are the Factors of 7568?

Answer: Factors of 7568 are 1, 2, 4, 8, 11, 16, 22, 43, 44, 86, 88, 172, 176, 344, 473, 688, 946, 1892, 3784, 7568. There are 20 integers that are factors of 7568. The greatest factor of 7568 is 7568.

4. How to Find the LCM of 7561 and 7568?

Answer:

Least Common Multiple of 7561 and 7568 = 57221648

Step 1: Find the prime factorization of 7561

7561 = 7561

Step 2: Find the prime factorization of 7568

7568 = 2 x 2 x 2 x 2 x 11 x 43

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

LCM = 57221648 = 2 x 2 x 2 x 2 x 11 x 43 x 7561

Step 4: Therefore, the least common multiple of 7561 and 7568 is 57221648.