Least Common Multiple of 552 and 560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 552 and 560 the smallest integer that is 38640 that is divisible by both numbers.

Least Common Multiple (LCM) of 552 and 560 is 38640.

LCM(552,560) = 38640

LCM of 552 and 560

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

LCM of:
and

Least Common Multiple of 552 and 560

LCM of 552 and 560 is 38640

Least common multiple can be found by multiplying the highest exponent prime factors of 552 and 560. First we will calculate the prime factors of 552 and 560.

Prime Factorization of 552


2 552
2 276
2 138
3 69
23 23
1

Prime factors of 552 are 2, 3,23. Prime factorization of 552 in exponential form is:

552 = 23×31×231

Prime Factorization of 560


2 560
2 280
2 140
2 70
5 35
7 7
1

Prime factors of 560 are 2, 5,7. Prime factorization of 560 in exponential form is:

560 = 24×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 552 and 560.

LCM(552,560) = 24×31×51×71×231
LCM(552,560) = 38640

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Least Common Multiple of 552 and 560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 552 and 560, than apply into the LCM equation.

GCF(552,560) = 8
LCM(552,560) = ( 552 × 560) / 8
LCM(552,560) = 309120 / 8
LCM(552,560) = 38640

Properties of LCM 552 and 560

(i) The LCM of 560 and 552 is associative

LCM of 552 and 560 = LCM of 560 and 552

Related Least Common Multiples of 552

Related Least Common Multiples of 560

Frequently Asked Questions on LCM of 552 and 560

1. What is the LCM of 552 and 560?

Answer: LCM of 552 and 560 is 38640.

2. What are the Factors of 552?

Answer: Factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552. There are 16 integers that are factors of 552. The greatest factor of 552 is 552.

3. What are the Factors of 560?

Answer: Factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560. There are 20 integers that are factors of 560. The greatest factor of 560 is 560.

4. How to Find the LCM of 552 and 560?

Answer:

Least Common Multiple of 552 and 560 = 38640

Step 1: Find the prime factorization of 552

552 = 2 x 2 x 2 x 3 x 23

Step 2: Find the prime factorization of 560

560 = 2 x 2 x 2 x 2 x 5 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 = 38640 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 23

Step 4: Therefore, the least common multiple of 552 and 560 is 38640.