Least Common Multiple (LCM) of 121 and 154
The least common multiple (LCM) of 121 and 154 is 1694.
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 154?
First, calculate the GCD of 121 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 154 = 0 remainder 121 |
| 2 | 154 ÷ 121 = 1 remainder 33 |
| 3 | 121 ÷ 33 = 3 remainder 22 |
| 4 | 33 ÷ 22 = 1 remainder 11 |
| 5 | 22 ÷ 11 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 124 | 1860 |
| 42 and 66 | 462 |
| 158 and 31 | 4898 |
| 198 and 146 | 14454 |
| 107 and 20 | 2140 |