Least Common Multiple (LCM) of 121 and 122
The least common multiple (LCM) of 121 and 122 is 14762.
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 122?
First, calculate the GCD of 121 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 122 = 0 remainder 121 |
| 2 | 122 ÷ 121 = 1 remainder 1 |
| 3 | 121 ÷ 1 = 121 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 136 | 3944 |
| 58 and 53 | 3074 |
| 115 and 78 | 8970 |
| 45 and 41 | 1845 |
| 20 and 164 | 820 |