Least Common Multiple (LCM) of 121 and 179
The least common multiple (LCM) of 121 and 179 is 21659.
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 179?
First, calculate the GCD of 121 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 179 = 0 remainder 121 |
| 2 | 179 ÷ 121 = 1 remainder 58 |
| 3 | 121 ÷ 58 = 2 remainder 5 |
| 4 | 58 ÷ 5 = 11 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 97 | 17654 |
| 145 and 40 | 1160 |
| 54 and 54 | 54 |
| 34 and 65 | 2210 |
| 45 and 20 | 180 |