Least Common Multiple of 543 and 546
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 546 the smallest integer that is 98826 that is divisible by both numbers.
Least Common Multiple (LCM) of 543 and 546 is 98826.
LCM(543,546) = 98826
LCM of 543 and 546
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 543 and 546 by Prime method
- Least Common Multiple of 543 and 546 with GCF Formula
LCM of 543 and 546 is 98826
Least common multiple can be found by multiplying the highest exponent prime factors of 543 and 546. First we will calculate the prime factors of 543 and 546.
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 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
Now multiplying the highest exponent prime factors to calculate the LCM of 543 and 546.
LCM(543,546) = 21×31×71×131×1811
LCM(543,546) = 98826
Factors of 543
List of positive integer factors of 543 that divides 543 without a remainder.
1, 3, 181, 543
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
Least Common Multiple of 543 and 546 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 546, than apply into the LCM equation.
GCF(543,546) = 3
LCM(543,546) = ( 543 × 546) / 3
LCM(543,546) = 296478 / 3
LCM(543,546) = 98826
Properties of LCM 543 and 546
(i) The LCM of 546 and 543 is associative
LCM of 543 and 546 = LCM of 546 and 543
Related Least Common Multiples of 543
Related Least Common Multiples of 546
Frequently Asked Questions on LCM of 543 and 546
1. What is the LCM of 543 and 546?
Answer: LCM of 543 and 546 is 98826.
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 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.
4. How to Find the LCM of 543 and 546?
Answer:
Least Common Multiple of 543 and 546 = 98826
Step 1: Find the prime factorization of 543
543 = 3 x 181
Step 2: Find the prime factorization of 546
546 = 2 x 3 x 7 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 98826 = 2 x 3 x 7 x 13 x 181
Step 4: Therefore, the least common multiple of 543 and 546 is 98826.
