Least Common Multiple of 555 and 558
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 558 the smallest integer that is 103230 that is divisible by both numbers.
Least Common Multiple (LCM) of 555 and 558 is 103230.
LCM(555,558) = 103230
LCM of 555 and 558
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 555 and 558 by Prime method
- Least Common Multiple of 555 and 558 with GCF Formula
LCM of 555 and 558 is 103230
Least common multiple can be found by multiplying the highest exponent prime factors of 555 and 558. First we will calculate the prime factors of 555 and 558.
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 558
| 2 | 558 |
| 3 | 279 |
| 3 | 93 |
| 31 | 31 |
| 1 |
Prime factors of 558 are 2, 3,31. Prime factorization of 558 in exponential form is:
558 = 21×32×311
Now multiplying the highest exponent prime factors to calculate the LCM of 555 and 558.
LCM(555,558) = 21×32×51×311×371
LCM(555,558) = 103230
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 558
List of positive integer factors of 558 that divides 558 without a remainder.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Least Common Multiple of 555 and 558 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 558, than apply into the LCM equation.
GCF(555,558) = 3
LCM(555,558) = ( 555 × 558) / 3
LCM(555,558) = 309690 / 3
LCM(555,558) = 103230
Properties of LCM 555 and 558
(i) The LCM of 558 and 555 is associative
LCM of 555 and 558 = LCM of 558 and 555
Related Least Common Multiples of 555
Related Least Common Multiples of 558
Frequently Asked Questions on LCM of 555 and 558
1. What is the LCM of 555 and 558?
Answer: LCM of 555 and 558 is 103230.
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 558?
Answer: Factors of 558 are 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558. There are 12 integers that are factors of 558. The greatest factor of 558 is 558.
4. How to Find the LCM of 555 and 558?
Answer:
Least Common Multiple of 555 and 558 = 103230
Step 1: Find the prime factorization of 555
555 = 3 x 5 x 37
Step 2: Find the prime factorization of 558
558 = 2 x 3 x 3 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 103230 = 2 x 3 x 3 x 5 x 31 x 37
Step 4: Therefore, the least common multiple of 555 and 558 is 103230.