Least Common Multiple (LCM) of 29 and 121
The least common multiple (LCM) of 29 and 121 is 3509.
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 29 and 121?
First, calculate the GCD of 29 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 29 ÷ 121 = 0 remainder 29 |
| 2 | 121 ÷ 29 = 4 remainder 5 |
| 3 | 29 ÷ 5 = 5 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 169 | 25688 |
| 102 and 174 | 2958 |
| 193 and 143 | 27599 |
| 38 and 31 | 1178 |
| 21 and 118 | 2478 |