Least Common Multiple (LCM) of 122 and 119
The least common multiple (LCM) of 122 and 119 is 14518.
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 119?
First, calculate the GCD of 122 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 119 = 1 remainder 3 |
| 2 | 119 ÷ 3 = 39 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 49 | 5243 |
| 178 and 12 | 1068 |
| 127 and 89 | 11303 |
| 61 and 57 | 3477 |
| 89 and 171 | 15219 |