Least Common Multiple (LCM) of 121 and 176
The least common multiple (LCM) of 121 and 176 is 1936.
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 176?
First, calculate the GCD of 121 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 176 = 0 remainder 121 |
| 2 | 176 ÷ 121 = 1 remainder 55 |
| 3 | 121 ÷ 55 = 2 remainder 11 |
| 4 | 55 ÷ 11 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 46 | 6210 |
| 46 and 121 | 5566 |
| 158 and 57 | 9006 |
| 83 and 13 | 1079 |
| 199 and 75 | 14925 |