Least Common Multiple of 546 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 546 and 551 the smallest integer that is 300846 that is divisible by both numbers.
Least Common Multiple (LCM) of 546 and 551 is 300846.
LCM(546,551) = 300846
LCM of 546 and 551
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 546 and 551 by Prime method
- Least Common Multiple of 546 and 551 with GCF Formula
LCM of 546 and 551 is 300846
Least common multiple can be found by multiplying the highest exponent prime factors of 546 and 551. First we will calculate the prime factors of 546 and 551.
Prime Factorization of 546
| 2 | 546 |
| 3 | 273 |
| 7 | 91 |
| 13 | 13 |
| 1 |
Prime factors of 546 are 2, 3, 7,13. Prime factorization of 546 in exponential form is:
546 = 21×31×71×131
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 546 and 551.
LCM(546,551) = 21×31×71×131×191×291
LCM(546,551) = 300846
Factors of 546
List of positive integer factors of 546 that divides 546 without a remainder.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Factors of 551
List of positive integer factors of 551 that divides 551 without a remainder.
1, 19, 29, 551
Least Common Multiple of 546 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 546 and 551, than apply into the LCM equation.
GCF(546,551) = 1
LCM(546,551) = ( 546 × 551) / 1
LCM(546,551) = 300846 / 1
LCM(546,551) = 300846
Properties of LCM 546 and 551
(i) The LCM of 551 and 546 is associative
LCM of 546 and 551 = LCM of 551 and 546
Related Least Common Multiples of 546
Related Least Common Multiples of 551
Frequently Asked Questions on LCM of 546 and 551
1. What is the LCM of 546 and 551?
Answer: LCM of 546 and 551 is 300846.
2. What are the Factors of 546?
Answer: Factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546. There are 16 integers that are factors of 546. The greatest factor of 546 is 546.
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 546 and 551?
Answer:
Least Common Multiple of 546 and 551 = 300846
Step 1: Find the prime factorization of 546
546 = 2 x 3 x 7 x 13
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 = 300846 = 2 x 3 x 7 x 13 x 19 x 29
Step 4: Therefore, the least common multiple of 546 and 551 is 300846.
