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 |
|---|---|
| 151 and 38 | 5738 |
| 96 and 80 | 480 |
| 22 and 178 | 1958 |
| 181 and 153 | 27693 |
| 127 and 107 | 13589 |