Least Common Multiple of 2539 and 2546
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 2546 the smallest integer that is 6464294 that is divisible by both numbers.
Least Common Multiple (LCM) of 2539 and 2546 is 6464294.
LCM(2539,2546) = 6464294
LCM of 2539 and 2546
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2539 and 2546 by Prime method
- Least Common Multiple of 2539 and 2546 with GCF Formula
LCM of 2539 and 2546 is 6464294
Least common multiple can be found by multiplying the highest exponent prime factors of 2539 and 2546. First we will calculate the prime factors of 2539 and 2546.
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 2546
| 2 | 2546 |
| 19 | 1273 |
| 67 | 67 |
| 1 |
Prime factors of 2546 are 2, 19,67. Prime factorization of 2546 in exponential form is:
2546 = 21×191×671
Now multiplying the highest exponent prime factors to calculate the LCM of 2539 and 2546.
LCM(2539,2546) = 21×191×671×25391
LCM(2539,2546) = 6464294
Factors of 2539
List of positive integer factors of 2539 that divides 2539 without a remainder.
1, 2539
Factors of 2546
List of positive integer factors of 2546 that divides 2546 without a remainder.
1, 2, 19, 38, 67, 134, 1273, 2546
Least Common Multiple of 2539 and 2546 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2539 and 2546, than apply into the LCM equation.
GCF(2539,2546) = 1
LCM(2539,2546) = ( 2539 × 2546) / 1
LCM(2539,2546) = 6464294 / 1
LCM(2539,2546) = 6464294
Properties of LCM 2539 and 2546
(i) The LCM of 2546 and 2539 is associative
LCM of 2539 and 2546 = LCM of 2546 and 2539
Related Least Common Multiples of 2539
Related Least Common Multiples of 2546
Frequently Asked Questions on LCM of 2539 and 2546
1. What is the LCM of 2539 and 2546?
Answer: LCM of 2539 and 2546 is 6464294.
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 2546?
Answer: Factors of 2546 are 1, 2, 19, 38, 67, 134, 1273, 2546. There are 8 integers that are factors of 2546. The greatest factor of 2546 is 2546.
4. How to Find the LCM of 2539 and 2546?
Answer:
Least Common Multiple of 2539 and 2546 = 6464294
Step 1: Find the prime factorization of 2539
2539 = 2539
Step 2: Find the prime factorization of 2546
2546 = 2 x 19 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6464294 = 2 x 19 x 67 x 2539
Step 4: Therefore, the least common multiple of 2539 and 2546 is 6464294.