Least Common Multiple (LCM) of 160 and 122
The least common multiple (LCM) of 160 and 122 is 9760.
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 122?
First, calculate the GCD of 160 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 122 = 1 remainder 38 |
| 2 | 122 ÷ 38 = 3 remainder 8 |
| 3 | 38 ÷ 8 = 4 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 26 and 136 | 1768 |
| 197 and 81 | 15957 |
| 126 and 48 | 1008 |
| 132 and 31 | 4092 |
| 167 and 115 | 19205 |