Least Common Multiple (LCM) of 29 and 154
The least common multiple (LCM) of 29 and 154 is 4466.
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 154?
First, calculate the GCD of 29 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 29 ÷ 154 = 0 remainder 29 |
| 2 | 154 ÷ 29 = 5 remainder 9 |
| 3 | 29 ÷ 9 = 3 remainder 2 |
| 4 | 9 ÷ 2 = 4 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 192 | 1344 |
| 162 and 85 | 13770 |
| 40 and 13 | 520 |
| 163 and 134 | 21842 |
| 186 and 131 | 24366 |