Least Common Multiple of 546 and 553
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 553 the smallest integer that is 43134 that is divisible by both numbers.
Least Common Multiple (LCM) of 546 and 553 is 43134.
LCM(546,553) = 43134
LCM of 546 and 553
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 546 and 553 by Prime method
- Least Common Multiple of 546 and 553 with GCF Formula
LCM of 546 and 553 is 43134
Least common multiple can be found by multiplying the highest exponent prime factors of 546 and 553. First we will calculate the prime factors of 546 and 553.
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 553
| 7 | 553 |
| 79 | 79 |
| 1 |
Prime factors of 553 are 7,79. Prime factorization of 553 in exponential form is:
553 = 71×791
Now multiplying the highest exponent prime factors to calculate the LCM of 546 and 553.
LCM(546,553) = 21×31×71×131×791
LCM(546,553) = 43134
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 553
List of positive integer factors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Least Common Multiple of 546 and 553 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 553, than apply into the LCM equation.
GCF(546,553) = 7
LCM(546,553) = ( 546 × 553) / 7
LCM(546,553) = 301938 / 7
LCM(546,553) = 43134
Properties of LCM 546 and 553
(i) The LCM of 553 and 546 is associative
LCM of 546 and 553 = LCM of 553 and 546
Related Least Common Multiples of 546
Related Least Common Multiples of 553
Frequently Asked Questions on LCM of 546 and 553
1. What is the LCM of 546 and 553?
Answer: LCM of 546 and 553 is 43134.
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 553?
Answer: Factors of 553 are 1, 7, 79, 553. There are 4 integers that are factors of 553. The greatest factor of 553 is 553.
4. How to Find the LCM of 546 and 553?
Answer:
Least Common Multiple of 546 and 553 = 43134
Step 1: Find the prime factorization of 546
546 = 2 x 3 x 7 x 13
Step 2: Find the prime factorization of 553
553 = 7 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43134 = 2 x 3 x 7 x 13 x 79
Step 4: Therefore, the least common multiple of 546 and 553 is 43134.