Least Common Multiple (LCM) of 10 and 133
The least common multiple (LCM) of 10 and 133 is 1330.
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 10 and 133?
First, calculate the GCD of 10 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 10 ÷ 133 = 0 remainder 10 |
| 2 | 133 ÷ 10 = 13 remainder 3 |
| 3 | 10 ÷ 3 = 3 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 99 | 10197 |
| 183 and 106 | 19398 |
| 47 and 146 | 6862 |
| 110 and 146 | 8030 |
| 147 and 112 | 2352 |