Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2533 and 2534 the smallest integer that is 6418622 that is divisible by both numbers.
Least Common Multiple (LCM) of 2533 and 2534 is 6418622.
LCM(2533,2534) = 6418622
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 2533 and 2534. First we will calculate the prime factors of 2533 and 2534.
Prime Factorization of 2533
17 | 2533 |
149 | 149 |
1 |
Prime factors of 2533 are 17,149. Prime factorization of 2533 in exponential form is:
2533 = 171×1491
Prime Factorization of 2534
2 | 2534 |
7 | 1267 |
181 | 181 |
1 |
Prime factors of 2534 are 2, 7,181. Prime factorization of 2534 in exponential form is:
2534 = 21×71×1811
Now multiplying the highest exponent prime factors to calculate the LCM of 2533 and 2534.
LCM(2533,2534) = 21×71×171×1491×1811
LCM(2533,2534) = 6418622
Factors of 2533
List of positive integer factors of 2533 that divides 2533 without a remainder.
1, 17, 149, 2533
Factors of 2534
List of positive integer factors of 2534 that divides 2534 without a remainder.
1, 2, 7, 14, 181, 362, 1267, 2534
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2533 and 2534, than apply into the LCM equation.
GCF(2533,2534) = 1
LCM(2533,2534) = ( 2533 × 2534) / 1
LCM(2533,2534) = 6418622 / 1
LCM(2533,2534) = 6418622
(i) The LCM of 2534 and 2533 is associative
LCM of 2533 and 2534 = LCM of 2534 and 2533
1. What is the LCM of 2533 and 2534?
Answer: LCM of 2533 and 2534 is 6418622.
2. What are the Factors of 2533?
Answer: Factors of 2533 are 1, 17, 149, 2533. There are 4 integers that are factors of 2533. The greatest factor of 2533 is 2533.
3. What are the Factors of 2534?
Answer: Factors of 2534 are 1, 2, 7, 14, 181, 362, 1267, 2534. There are 8 integers that are factors of 2534. The greatest factor of 2534 is 2534.
4. How to Find the LCM of 2533 and 2534?
Answer:
Least Common Multiple of 2533 and 2534 = 6418622
Step 1: Find the prime factorization of 2533
2533 = 17 x 149
Step 2: Find the prime factorization of 2534
2534 = 2 x 7 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6418622 = 2 x 7 x 17 x 149 x 181
Step 4: Therefore, the least common multiple of 2533 and 2534 is 6418622.