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 545 the smallest integer that is 295935 that is divisible by both numbers.
Least Common Multiple (LCM) of 543 and 545 is 295935.
LCM(543,545) = 295935
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 543 and 545. First we will calculate the prime factors of 543 and 545.
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 545
5 | 545 |
109 | 109 |
1 |
Prime factors of 545 are 5,109. Prime factorization of 545 in exponential form is:
545 = 51×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 543 and 545.
LCM(543,545) = 31×51×1091×1811
LCM(543,545) = 295935
Factors of 543
List of positive integer factors of 543 that divides 543 without a remainder.
1, 3, 181, 543
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1, 5, 109, 545
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 543 and 545, than apply into the LCM equation.
GCF(543,545) = 1
LCM(543,545) = ( 543 × 545) / 1
LCM(543,545) = 295935 / 1
LCM(543,545) = 295935
(i) The LCM of 545 and 543 is associative
LCM of 543 and 545 = LCM of 545 and 543
1. What is the LCM of 543 and 545?
Answer: LCM of 543 and 545 is 295935.
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 545?
Answer: Factors of 545 are 1, 5, 109, 545. There are 4 integers that are factors of 545. The greatest factor of 545 is 545.
4. How to Find the LCM of 543 and 545?
Answer:
Least Common Multiple of 543 and 545 = 295935
Step 1: Find the prime factorization of 543
543 = 3 x 181
Step 2: Find the prime factorization of 545
545 = 5 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 295935 = 3 x 5 x 109 x 181
Step 4: Therefore, the least common multiple of 543 and 545 is 295935.