Least Common Multiple of 2546 and 2551
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2546 and 2551 the smallest integer that is 6494846 that is divisible by both numbers.
Least Common Multiple (LCM) of 2546 and 2551 is 6494846.
LCM(2546,2551) = 6494846
LCM of 2546 and 2551
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2546 and 2551 by Prime method
- Least Common Multiple of 2546 and 2551 with GCF Formula
LCM of 2546 and 2551 is 6494846
Least common multiple can be found by multiplying the highest exponent prime factors of 2546 and 2551. First we will calculate the prime factors of 2546 and 2551.
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
Prime Factorization of 2551
| 2551 | 2551 |
| 1 |
Prime factors of 2551 are 2551. Prime factorization of 2551 in exponential form is:
2551 = 25511
Now multiplying the highest exponent prime factors to calculate the LCM of 2546 and 2551.
LCM(2546,2551) = 21×191×671×25511
LCM(2546,2551) = 6494846
Factors of 2546
List of positive integer factors of 2546 that divides 2546 without a remainder.
1, 2, 19, 38, 67, 134, 1273, 2546
Factors of 2551
List of positive integer factors of 2551 that divides 2551 without a remainder.
1, 2551
Least Common Multiple of 2546 and 2551 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2546 and 2551, than apply into the LCM equation.
GCF(2546,2551) = 1
LCM(2546,2551) = ( 2546 × 2551) / 1
LCM(2546,2551) = 6494846 / 1
LCM(2546,2551) = 6494846
Properties of LCM 2546 and 2551
(i) The LCM of 2551 and 2546 is associative
LCM of 2546 and 2551 = LCM of 2551 and 2546
Related Least Common Multiples of 2546
Related Least Common Multiples of 2551
Frequently Asked Questions on LCM of 2546 and 2551
1. What is the LCM of 2546 and 2551?
Answer: LCM of 2546 and 2551 is 6494846.
2. 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.
3. What are the Factors of 2551?
Answer: Factors of 2551 are 1, 2551. There are 2 integers that are factors of 2551. The greatest factor of 2551 is 2551.
4. How to Find the LCM of 2546 and 2551?
Answer:
Least Common Multiple of 2546 and 2551 = 6494846
Step 1: Find the prime factorization of 2546
2546 = 2 x 19 x 67
Step 2: Find the prime factorization of 2551
2551 = 2551
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6494846 = 2 x 19 x 67 x 2551
Step 4: Therefore, the least common multiple of 2546 and 2551 is 6494846.