Least Common Multiple (LCM) of 29 and 36
The least common multiple (LCM) of 29 and 36 is 1044.
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 36?
First, calculate the GCD of 29 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 29 ÷ 36 = 0 remainder 29 |
| 2 | 36 ÷ 29 = 1 remainder 7 |
| 3 | 29 ÷ 7 = 4 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 66 and 199 | 13134 |
| 48 and 173 | 8304 |
| 121 and 130 | 15730 |
| 30 and 105 | 210 |
| 155 and 75 | 2325 |