Least Common Multiple of 543 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 543 and 551 the smallest integer that is 299193 that is divisible by both numbers.
Least Common Multiple (LCM) of 543 and 551 is 299193.
LCM(543,551) = 299193
LCM of 543 and 551
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 543 and 551 by Prime method
- Least Common Multiple of 543 and 551 with GCF Formula
LCM of 543 and 551 is 299193
Least common multiple can be found by multiplying the highest exponent prime factors of 543 and 551. First we will calculate the prime factors of 543 and 551.
Prime Factorization of 543
| 3 | 543 |
| 181 | 181 |
| 1 |
Prime factors of 543 are 3,181. Prime factorization of 543 in exponential form is:
543 = 31×1811
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 543 and 551.
LCM(543,551) = 31×191×291×1811
LCM(543,551) = 299193
Factors of 543
List of positive integer factors of 543 that divides 543 without a remainder.
1, 3, 181, 543
Factors of 551
List of positive integer factors of 551 that divides 551 without a remainder.
1, 19, 29, 551
Least Common Multiple of 543 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 543 and 551, than apply into the LCM equation.
GCF(543,551) = 1
LCM(543,551) = ( 543 × 551) / 1
LCM(543,551) = 299193 / 1
LCM(543,551) = 299193
Properties of LCM 543 and 551
(i) The LCM of 551 and 543 is associative
LCM of 543 and 551 = LCM of 551 and 543
Related Least Common Multiples of 543
Related Least Common Multiples of 551
Frequently Asked Questions on LCM of 543 and 551
1. What is the LCM of 543 and 551?
Answer: LCM of 543 and 551 is 299193.
2. What are the Factors of 543?
Answer: Factors of 543 are 1, 3, 181, 543. There are 4 integers that are factors of 543. The greatest factor of 543 is 543.
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 543 and 551?
Answer:
Least Common Multiple of 543 and 551 = 299193
Step 1: Find the prime factorization of 543
543 = 3 x 181
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 = 299193 = 3 x 19 x 29 x 181
Step 4: Therefore, the least common multiple of 543 and 551 is 299193.