Least Common Multiple (LCM) of 147 and 121
The least common multiple (LCM) of 147 and 121 is 17787.
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 147 and 121?
First, calculate the GCD of 147 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 121 = 1 remainder 26 |
| 2 | 121 ÷ 26 = 4 remainder 17 |
| 3 | 26 ÷ 17 = 1 remainder 9 |
| 4 | 17 ÷ 9 = 1 remainder 8 |
| 5 | 9 ÷ 8 = 1 remainder 1 |
| 6 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 116 | 4872 |
| 157 and 65 | 10205 |
| 45 and 90 | 90 |
| 181 and 178 | 32218 |
| 16 and 175 | 2800 |