Least Common Multiple (LCM) of 121 and 147
The least common multiple (LCM) of 121 and 147 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 121 and 147?
First, calculate the GCD of 121 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 147 = 0 remainder 121 |
| 2 | 147 ÷ 121 = 1 remainder 26 |
| 3 | 121 ÷ 26 = 4 remainder 17 |
| 4 | 26 ÷ 17 = 1 remainder 9 |
| 5 | 17 ÷ 9 = 1 remainder 8 |
| 6 | 9 ÷ 8 = 1 remainder 1 |
| 7 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 34 and 20 | 340 |
| 63 and 53 | 3339 |
| 22 and 99 | 198 |
| 112 and 78 | 4368 |
| 23 and 171 | 3933 |