Least Common Multiple (LCM) of 29 and 176
The least common multiple (LCM) of 29 and 176 is 5104.
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 176?
First, calculate the GCD of 29 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 29 ÷ 176 = 0 remainder 29 |
| 2 | 176 ÷ 29 = 6 remainder 2 |
| 3 | 29 ÷ 2 = 14 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 15 | 255 |
| 151 and 14 | 2114 |
| 24 and 102 | 408 |
| 173 and 155 | 26815 |
| 20 and 77 | 1540 |