Least Common Multiple (LCM) of 29 and 33
The least common multiple (LCM) of 29 and 33 is 957.
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 33?
First, calculate the GCD of 29 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 29 ÷ 33 = 0 remainder 29 |
| 2 | 33 ÷ 29 = 1 remainder 4 |
| 3 | 29 ÷ 4 = 7 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 25 | 2975 |
| 169 and 99 | 16731 |
| 29 and 196 | 5684 |
| 20 and 163 | 3260 |
| 16 and 53 | 848 |