Least Common Multiple of 1643 and 1651
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1643 and 1651 the smallest integer that is 2712593 that is divisible by both numbers.
Least Common Multiple (LCM) of 1643 and 1651 is 2712593.
LCM(1643,1651) = 2712593
LCM of 1643 and 1651
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1643 and 1651 by Prime method
- Least Common Multiple of 1643 and 1651 with GCF Formula
LCM of 1643 and 1651 is 2712593
Least common multiple can be found by multiplying the highest exponent prime factors of 1643 and 1651. First we will calculate the prime factors of 1643 and 1651.
Prime Factorization of 1643
| 31 | 1643 |
| 53 | 53 |
| 1 |
Prime factors of 1643 are 31,53. Prime factorization of 1643 in exponential form is:
1643 = 311×531
Prime Factorization of 1651
| 13 | 1651 |
| 127 | 127 |
| 1 |
Prime factors of 1651 are 13,127. Prime factorization of 1651 in exponential form is:
1651 = 131×1271
Now multiplying the highest exponent prime factors to calculate the LCM of 1643 and 1651.
LCM(1643,1651) = 131×311×531×1271
LCM(1643,1651) = 2712593
Factors of 1643
List of positive integer factors of 1643 that divides 1643 without a remainder.
1, 31, 53, 1643
Factors of 1651
List of positive integer factors of 1651 that divides 1651 without a remainder.
1, 13, 127, 1651
Least Common Multiple of 1643 and 1651 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1643 and 1651, than apply into the LCM equation.
GCF(1643,1651) = 1
LCM(1643,1651) = ( 1643 × 1651) / 1
LCM(1643,1651) = 2712593 / 1
LCM(1643,1651) = 2712593
Properties of LCM 1643 and 1651
(i) The LCM of 1651 and 1643 is associative
LCM of 1643 and 1651 = LCM of 1651 and 1643
Related Least Common Multiples of 1643
Related Least Common Multiples of 1651
Frequently Asked Questions on LCM of 1643 and 1651
1. What is the LCM of 1643 and 1651?
Answer: LCM of 1643 and 1651 is 2712593.
2. What are the Factors of 1643?
Answer: Factors of 1643 are 1, 31, 53, 1643. There are 4 integers that are factors of 1643. The greatest factor of 1643 is 1643.
3. What are the Factors of 1651?
Answer: Factors of 1651 are 1, 13, 127, 1651. There are 4 integers that are factors of 1651. The greatest factor of 1651 is 1651.
4. How to Find the LCM of 1643 and 1651?
Answer:
Least Common Multiple of 1643 and 1651 = 2712593
Step 1: Find the prime factorization of 1643
1643 = 31 x 53
Step 2: Find the prime factorization of 1651
1651 = 13 x 127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2712593 = 13 x 31 x 53 x 127
Step 4: Therefore, the least common multiple of 1643 and 1651 is 2712593.