Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 536 and 538 the smallest integer that is 144184 that is divisible by both numbers.
Least Common Multiple (LCM) of 536 and 538 is 144184.
LCM(536,538) = 144184
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 536 and 538. First we will calculate the prime factors of 536 and 538.
Prime Factorization of 536
2 | 536 |
2 | 268 |
2 | 134 |
67 | 67 |
1 |
Prime factors of 536 are 2,67. Prime factorization of 536 in exponential form is:
536 = 23×671
Prime Factorization of 538
2 | 538 |
269 | 269 |
1 |
Prime factors of 538 are 2,269. Prime factorization of 538 in exponential form is:
538 = 21×2691
Now multiplying the highest exponent prime factors to calculate the LCM of 536 and 538.
LCM(536,538) = 23×671×2691
LCM(536,538) = 144184
Factors of 536
List of positive integer factors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Factors of 538
List of positive integer factors of 538 that divides 538 without a remainder.
1, 2, 269, 538
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 536 and 538, than apply into the LCM equation.
GCF(536,538) = 2
LCM(536,538) = ( 536 × 538) / 2
LCM(536,538) = 288368 / 2
LCM(536,538) = 144184
(i) The LCM of 538 and 536 is associative
LCM of 536 and 538 = LCM of 538 and 536
1. What is the LCM of 536 and 538?
Answer: LCM of 536 and 538 is 144184.
2. What are the Factors of 536?
Answer: Factors of 536 are 1, 2, 4, 8, 67, 134, 268, 536. There are 8 integers that are factors of 536. The greatest factor of 536 is 536.
3. What are the Factors of 538?
Answer: Factors of 538 are 1, 2, 269, 538. There are 4 integers that are factors of 538. The greatest factor of 538 is 538.
4. How to Find the LCM of 536 and 538?
Answer:
Least Common Multiple of 536 and 538 = 144184
Step 1: Find the prime factorization of 536
536 = 2 x 2 x 2 x 67
Step 2: Find the prime factorization of 538
538 = 2 x 269
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 144184 = 2 x 2 x 2 x 67 x 269
Step 4: Therefore, the least common multiple of 536 and 538 is 144184.