Least Common Multiple (LCM) of 122 and 160
The least common multiple (LCM) of 122 and 160 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 122 and 160?
First, calculate the GCD of 122 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 160 = 0 remainder 122 |
| 2 | 160 ÷ 122 = 1 remainder 38 |
| 3 | 122 ÷ 38 = 3 remainder 8 |
| 4 | 38 ÷ 8 = 4 remainder 6 |
| 5 | 8 ÷ 6 = 1 remainder 2 |
| 6 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 167 | 17368 |
| 56 and 132 | 1848 |
| 119 and 137 | 16303 |
| 199 and 126 | 25074 |
| 103 and 27 | 2781 |