Least Common Multiple (LCM) of 145 and 29
The least common multiple (LCM) of 145 and 29 is 145.
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 145 and 29?
First, calculate the GCD of 145 and 29 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 29 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 200 | 17800 |
| 149 and 13 | 1937 |
| 131 and 17 | 2227 |
| 34 and 30 | 510 |
| 108 and 168 | 1512 |