Least Common Multiple (LCM) of 133 and 93
The least common multiple (LCM) of 133 and 93 is 12369.
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 93?
First, calculate the GCD of 133 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 93 = 1 remainder 40 |
| 2 | 93 ÷ 40 = 2 remainder 13 |
| 3 | 40 ÷ 13 = 3 remainder 1 |
| 4 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 90 and 78 | 1170 |
| 171 and 53 | 9063 |
| 135 and 155 | 4185 |
| 31 and 62 | 62 |
| 192 and 117 | 7488 |