Least Common Multiple of 554 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 554 and 560 the smallest integer that is 155120 that is divisible by both numbers.

Least Common Multiple (LCM) of 554 and 560 is 155120.

LCM(554,560) = 155120

LCM of 554 and 560

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

LCM of:
and

Least Common Multiple of 554 and 560

LCM of 554 and 560 is 155120

Least common multiple can be found by multiplying the highest exponent prime factors of 554 and 560. First we will calculate the prime factors of 554 and 560.

Prime Factorization of 554


2 554
277 277
1

Prime factors of 554 are 2,277. Prime factorization of 554 in exponential form is:

554 = 21×2771

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 554 and 560.

LCM(554,560) = 24×51×71×2771
LCM(554,560) = 155120

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1, 2, 277, 554

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 554 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 554 and 560, than apply into the LCM equation.

GCF(554,560) = 2
LCM(554,560) = ( 554 × 560) / 2
LCM(554,560) = 310240 / 2
LCM(554,560) = 155120

Properties of LCM 554 and 560

(i) The LCM of 560 and 554 is associative

LCM of 554 and 560 = LCM of 560 and 554

Related Least Common Multiples of 554

Related Least Common Multiples of 560

Frequently Asked Questions on LCM of 554 and 560

1. What is the LCM of 554 and 560?

Answer: LCM of 554 and 560 is 155120.

2. What are the Factors of 554?

Answer: Factors of 554 are 1, 2, 277, 554. There are 4 integers that are factors of 554. The greatest factor of 554 is 554.

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 554 and 560?

Answer:

Least Common Multiple of 554 and 560 = 155120

Step 1: Find the prime factorization of 554

554 = 2 x 277

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 = 155120 = 2 x 2 x 2 x 2 x 5 x 7 x 277

Step 4: Therefore, the least common multiple of 554 and 560 is 155120.