Least Common Multiple (LCM) of 121 and 190
The least common multiple (LCM) of 121 and 190 is 22990.
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 121 and 190?
First, calculate the GCD of 121 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 190 = 0 remainder 121 |
| 2 | 190 ÷ 121 = 1 remainder 69 |
| 3 | 121 ÷ 69 = 1 remainder 52 |
| 4 | 69 ÷ 52 = 1 remainder 17 |
| 5 | 52 ÷ 17 = 3 remainder 1 |
| 6 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 85 and 170 | 170 |
| 65 and 59 | 3835 |
| 35 and 47 | 1645 |
| 88 and 82 | 3608 |
| 129 and 83 | 10707 |