Least Common Multiple of 1543 and 1551
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1543 and 1551 the smallest integer that is 2393193 that is divisible by both numbers.
Least Common Multiple (LCM) of 1543 and 1551 is 2393193.
LCM(1543,1551) = 2393193
LCM of 1543 and 1551
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1543 and 1551 by Prime method
- Least Common Multiple of 1543 and 1551 with GCF Formula
LCM of 1543 and 1551 is 2393193
Least common multiple can be found by multiplying the highest exponent prime factors of 1543 and 1551. First we will calculate the prime factors of 1543 and 1551.
Prime Factorization of 1543
| 1543 | 1543 |
| 1 |
Prime factors of 1543 are 1543. Prime factorization of 1543 in exponential form is:
1543 = 15431
Prime Factorization of 1551
| 3 | 1551 |
| 11 | 517 |
| 47 | 47 |
| 1 |
Prime factors of 1551 are 3, 11,47. Prime factorization of 1551 in exponential form is:
1551 = 31×111×471
Now multiplying the highest exponent prime factors to calculate the LCM of 1543 and 1551.
LCM(1543,1551) = 31×111×471×15431
LCM(1543,1551) = 2393193
Factors of 1543
List of positive integer factors of 1543 that divides 1543 without a remainder.
1, 1543
Factors of 1551
List of positive integer factors of 1551 that divides 1551 without a remainder.
1, 3, 11, 33, 47, 141, 517, 1551
Least Common Multiple of 1543 and 1551 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1543 and 1551, than apply into the LCM equation.
GCF(1543,1551) = 1
LCM(1543,1551) = ( 1543 × 1551) / 1
LCM(1543,1551) = 2393193 / 1
LCM(1543,1551) = 2393193
Properties of LCM 1543 and 1551
(i) The LCM of 1551 and 1543 is associative
LCM of 1543 and 1551 = LCM of 1551 and 1543
Related Least Common Multiples of 1543
Related Least Common Multiples of 1551
Frequently Asked Questions on LCM of 1543 and 1551
1. What is the LCM of 1543 and 1551?
Answer: LCM of 1543 and 1551 is 2393193.
2. What are the Factors of 1543?
Answer: Factors of 1543 are 1, 1543. There are 2 integers that are factors of 1543. The greatest factor of 1543 is 1543.
3. What are the Factors of 1551?
Answer: Factors of 1551 are 1, 3, 11, 33, 47, 141, 517, 1551. There are 8 integers that are factors of 1551. The greatest factor of 1551 is 1551.
4. How to Find the LCM of 1543 and 1551?
Answer:
Least Common Multiple of 1543 and 1551 = 2393193
Step 1: Find the prime factorization of 1543
1543 = 1543
Step 2: Find the prime factorization of 1551
1551 = 3 x 11 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2393193 = 3 x 11 x 47 x 1543
Step 4: Therefore, the least common multiple of 1543 and 1551 is 2393193.