Least Common Multiple (LCM) of 29 and 179
The least common multiple (LCM) of 29 and 179 is 5191.
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 179?
First, calculate the GCD of 29 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 29 ÷ 179 = 0 remainder 29 |
| 2 | 179 ÷ 29 = 6 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 |
|---|---|
| 123 and 149 | 18327 |
| 23 and 161 | 161 |
| 145 and 187 | 27115 |
| 193 and 125 | 24125 |
| 83 and 100 | 8300 |