Least Common Multiple of 551 and 555
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 551 and 555 the smallest integer that is 305805 that is divisible by both numbers.
Least Common Multiple (LCM) of 551 and 555 is 305805.
LCM(551,555) = 305805
LCM of 551 and 555
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 551 and 555 by Prime method
- Least Common Multiple of 551 and 555 with GCF Formula
LCM of 551 and 555 is 305805
Least common multiple can be found by multiplying the highest exponent prime factors of 551 and 555. First we will calculate the prime factors of 551 and 555.
Prime Factorization of 551
| 19 | 551 |
| 29 | 29 |
| 1 |
Prime factors of 551 are 19,29. Prime factorization of 551 in exponential form is:
551 = 191×291
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
Now multiplying the highest exponent prime factors to calculate the LCM of 551 and 555.
LCM(551,555) = 31×51×191×291×371
LCM(551,555) = 305805
Factors of 551
List of positive integer factors of 551 that divides 551 without a remainder.
1, 19, 29, 551
Factors of 555
List of positive integer factors of 555 that divides 555 without a remainder.
1, 3, 5, 15, 37, 111, 185, 555
Least Common Multiple of 551 and 555 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 551 and 555, than apply into the LCM equation.
GCF(551,555) = 1
LCM(551,555) = ( 551 × 555) / 1
LCM(551,555) = 305805 / 1
LCM(551,555) = 305805
Properties of LCM 551 and 555
(i) The LCM of 555 and 551 is associative
LCM of 551 and 555 = LCM of 555 and 551
Related Least Common Multiples of 551
Related Least Common Multiples of 555
Frequently Asked Questions on LCM of 551 and 555
1. What is the LCM of 551 and 555?
Answer: LCM of 551 and 555 is 305805.
2. What are the Factors of 551?
Answer: Factors of 551 are 1, 19, 29, 551. There are 4 integers that are factors of 551. The greatest factor of 551 is 551.
3. 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.
4. How to Find the LCM of 551 and 555?
Answer:
Least Common Multiple of 551 and 555 = 305805
Step 1: Find the prime factorization of 551
551 = 19 x 29
Step 2: Find the prime factorization of 555
555 = 3 x 5 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 305805 = 3 x 5 x 19 x 29 x 37
Step 4: Therefore, the least common multiple of 551 and 555 is 305805.