Least Common Multiple (LCM) of 122 and 137
The least common multiple (LCM) of 122 and 137 is 16714.
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 137?
First, calculate the GCD of 122 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 137 = 0 remainder 122 |
| 2 | 137 ÷ 122 = 1 remainder 15 |
| 3 | 122 ÷ 15 = 8 remainder 2 |
| 4 | 15 ÷ 2 = 7 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 125 | 22750 |
| 14 and 112 | 112 |
| 13 and 97 | 1261 |
| 45 and 160 | 1440 |
| 66 and 178 | 5874 |