Least Common Multiple (LCM) of 133 and 101
The least common multiple (LCM) of 133 and 101 is 13433.
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 101?
First, calculate the GCD of 133 and 101 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 101 = 1 remainder 32 |
| 2 | 101 ÷ 32 = 3 remainder 5 |
| 3 | 32 ÷ 5 = 6 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 21 | 525 |
| 40 and 78 | 1560 |
| 121 and 54 | 6534 |
| 22 and 30 | 330 |
| 138 and 179 | 24702 |