Least Common Multiple (LCM) of 143 and 160
The least common multiple (LCM) of 143 and 160 is 22880.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 143 and 160?
First, calculate the GCD of 143 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 160 = 0 remainder 143 |
| 2 | 160 ÷ 143 = 1 remainder 17 |
| 3 | 143 ÷ 17 = 8 remainder 7 |
| 4 | 17 ÷ 7 = 2 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 17 | 2550 |
| 102 and 117 | 3978 |
| 128 and 92 | 2944 |
| 144 and 158 | 11376 |
| 89 and 119 | 10591 |