Least Common Multiple of 550 and 551
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 550 and 551 the smallest integer that is 303050 that is divisible by both numbers.
Least Common Multiple (LCM) of 550 and 551 is 303050.
LCM(550,551) = 303050
LCM of 550 and 551
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 550 and 551 by Prime method
- Least Common Multiple of 550 and 551 with GCF Formula
LCM of 550 and 551 is 303050
Least common multiple can be found by multiplying the highest exponent prime factors of 550 and 551. First we will calculate the prime factors of 550 and 551.
Prime Factorization of 550
| 2 | 550 |
| 5 | 275 |
| 5 | 55 |
| 11 | 11 |
| 1 |
Prime factors of 550 are 2, 5,11. Prime factorization of 550 in exponential form is:
550 = 21×52×111
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
Now multiplying the highest exponent prime factors to calculate the LCM of 550 and 551.
LCM(550,551) = 21×52×111×191×291
LCM(550,551) = 303050
Factors of 550
List of positive integer factors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Factors of 551
List of positive integer factors of 551 that divides 551 without a remainder.
1, 19, 29, 551
Least Common Multiple of 550 and 551 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 550 and 551, than apply into the LCM equation.
GCF(550,551) = 1
LCM(550,551) = ( 550 × 551) / 1
LCM(550,551) = 303050 / 1
LCM(550,551) = 303050
Properties of LCM 550 and 551
(i) The LCM of 551 and 550 is associative
LCM of 550 and 551 = LCM of 551 and 550
Related Least Common Multiples of 550
Related Least Common Multiples of 551
Frequently Asked Questions on LCM of 550 and 551
1. What is the LCM of 550 and 551?
Answer: LCM of 550 and 551 is 303050.
2. What are the Factors of 550?
Answer: Factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550. There are 12 integers that are factors of 550. The greatest factor of 550 is 550.
3. 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.
4. How to Find the LCM of 550 and 551?
Answer:
Least Common Multiple of 550 and 551 = 303050
Step 1: Find the prime factorization of 550
550 = 2 x 5 x 5 x 11
Step 2: Find the prime factorization of 551
551 = 19 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 303050 = 2 x 5 x 5 x 11 x 19 x 29
Step 4: Therefore, the least common multiple of 550 and 551 is 303050.
