Least Common Multiple (LCM) of 133 and 117
The least common multiple (LCM) of 133 and 117 is 15561.
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 117?
First, calculate the GCD of 133 and 117 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 117 = 1 remainder 16 |
| 2 | 117 ÷ 16 = 7 remainder 5 |
| 3 | 16 ÷ 5 = 3 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 146 | 20586 |
| 137 and 38 | 5206 |
| 172 and 157 | 27004 |
| 53 and 105 | 5565 |
| 56 and 94 | 2632 |