Least Common Multiple (LCM) of 133 and 34
The least common multiple (LCM) of 133 and 34 is 4522.
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 133 and 34?
First, calculate the GCD of 133 and 34 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 34 = 3 remainder 31 |
| 2 | 34 ÷ 31 = 1 remainder 3 |
| 3 | 31 ÷ 3 = 10 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 173 | 18511 |
| 141 and 80 | 11280 |
| 200 and 146 | 14600 |
| 152 and 90 | 6840 |
| 138 and 98 | 6762 |