Least Common Multiple (LCM) of 160 and 127
The least common multiple (LCM) of 160 and 127 is 20320.
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 160 and 127?
First, calculate the GCD of 160 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 127 = 1 remainder 33 |
| 2 | 127 ÷ 33 = 3 remainder 28 |
| 3 | 33 ÷ 28 = 1 remainder 5 |
| 4 | 28 ÷ 5 = 5 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 115 | 19780 |
| 116 and 97 | 11252 |
| 97 and 193 | 18721 |
| 56 and 49 | 392 |
| 32 and 74 | 1184 |