Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2539 and 2547 the smallest integer that is 6466833 that is divisible by both numbers.
Least Common Multiple (LCM) of 2539 and 2547 is 6466833.
LCM(2539,2547) = 6466833
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 2539 and 2547. First we will calculate the prime factors of 2539 and 2547.
Prime Factorization of 2539
2539 | 2539 |
1 |
Prime factors of 2539 are 2539. Prime factorization of 2539 in exponential form is:
2539 = 25391
Prime Factorization of 2547
3 | 2547 |
3 | 849 |
283 | 283 |
1 |
Prime factors of 2547 are 3,283. Prime factorization of 2547 in exponential form is:
2547 = 32×2831
Now multiplying the highest exponent prime factors to calculate the LCM of 2539 and 2547.
LCM(2539,2547) = 32×2831×25391
LCM(2539,2547) = 6466833
Factors of 2539
List of positive integer factors of 2539 that divides 2539 without a remainder.
1, 2539
Factors of 2547
List of positive integer factors of 2547 that divides 2547 without a remainder.
1, 3, 9, 283, 849, 2547
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2539 and 2547, than apply into the LCM equation.
GCF(2539,2547) = 1
LCM(2539,2547) = ( 2539 × 2547) / 1
LCM(2539,2547) = 6466833 / 1
LCM(2539,2547) = 6466833
(i) The LCM of 2547 and 2539 is associative
LCM of 2539 and 2547 = LCM of 2547 and 2539
1. What is the LCM of 2539 and 2547?
Answer: LCM of 2539 and 2547 is 6466833.
2. What are the Factors of 2539?
Answer: Factors of 2539 are 1, 2539. There are 2 integers that are factors of 2539. The greatest factor of 2539 is 2539.
3. What are the Factors of 2547?
Answer: Factors of 2547 are 1, 3, 9, 283, 849, 2547. There are 6 integers that are factors of 2547. The greatest factor of 2547 is 2547.
4. How to Find the LCM of 2539 and 2547?
Answer:
Least Common Multiple of 2539 and 2547 = 6466833
Step 1: Find the prime factorization of 2539
2539 = 2539
Step 2: Find the prime factorization of 2547
2547 = 3 x 3 x 283
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6466833 = 3 x 3 x 283 x 2539
Step 4: Therefore, the least common multiple of 2539 and 2547 is 6466833.