Least Common Multiple (LCM) of 137 and 122
The least common multiple (LCM) of 137 and 122 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 137 and 122?
First, calculate the GCD of 137 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 122 = 1 remainder 15 |
| 2 | 122 ÷ 15 = 8 remainder 2 |
| 3 | 15 ÷ 2 = 7 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 24 | 888 |
| 119 and 31 | 3689 |
| 63 and 99 | 693 |
| 115 and 83 | 9545 |
| 95 and 44 | 4180 |