Least Common Multiple of 555 and 563
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 555 and 563 the smallest integer that is 312465 that is divisible by both numbers.
Least Common Multiple (LCM) of 555 and 563 is 312465.
LCM(555,563) = 312465
LCM of 555 and 563
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 555 and 563 by Prime method
- Least Common Multiple of 555 and 563 with GCF Formula
LCM of 555 and 563 is 312465
Least common multiple can be found by multiplying the highest exponent prime factors of 555 and 563. First we will calculate the prime factors of 555 and 563.
Prime Factorization of 555
| 3 | 555 |
| 5 | 185 |
| 37 | 37 |
| 1 |
Prime factors of 555 are 3, 5,37. Prime factorization of 555 in exponential form is:
555 = 31×51×371
Prime Factorization of 563
| 563 | 563 |
| 1 |
Prime factors of 563 are 563. Prime factorization of 563 in exponential form is:
563 = 5631
Now multiplying the highest exponent prime factors to calculate the LCM of 555 and 563.
LCM(555,563) = 31×51×371×5631
LCM(555,563) = 312465
Factors of 555
List of positive integer factors of 555 that divides 555 without a remainder.
1, 3, 5, 15, 37, 111, 185, 555
Factors of 563
List of positive integer factors of 563 that divides 563 without a remainder.
1, 563
Least Common Multiple of 555 and 563 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 555 and 563, than apply into the LCM equation.
GCF(555,563) = 1
LCM(555,563) = ( 555 × 563) / 1
LCM(555,563) = 312465 / 1
LCM(555,563) = 312465
Properties of LCM 555 and 563
(i) The LCM of 563 and 555 is associative
LCM of 555 and 563 = LCM of 563 and 555
Related Least Common Multiples of 555
Related Least Common Multiples of 563
Frequently Asked Questions on LCM of 555 and 563
1. What is the LCM of 555 and 563?
Answer: LCM of 555 and 563 is 312465.
2. What are the Factors of 555?
Answer: Factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555. There are 8 integers that are factors of 555. The greatest factor of 555 is 555.
3. What are the Factors of 563?
Answer: Factors of 563 are 1, 563. There are 2 integers that are factors of 563. The greatest factor of 563 is 563.
4. How to Find the LCM of 555 and 563?
Answer:
Least Common Multiple of 555 and 563 = 312465
Step 1: Find the prime factorization of 555
555 = 3 x 5 x 37
Step 2: Find the prime factorization of 563
563 = 563
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 312465 = 3 x 5 x 37 x 563
Step 4: Therefore, the least common multiple of 555 and 563 is 312465.