Least Common Multiple (LCM) of 29 and 130
The least common multiple (LCM) of 29 and 130 is 3770.
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 130?
First, calculate the GCD of 29 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 29 ÷ 130 = 0 remainder 29 |
| 2 | 130 ÷ 29 = 4 remainder 14 |
| 3 | 29 ÷ 14 = 2 remainder 1 |
| 4 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 122 | 8296 |
| 179 and 122 | 21838 |
| 34 and 77 | 2618 |
| 195 and 69 | 4485 |
| 120 and 105 | 840 |