Least Common Multiple (LCM) of 89 and 133
The least common multiple (LCM) of 89 and 133 is 11837.
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 89 and 133?
First, calculate the GCD of 89 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 89 ÷ 133 = 0 remainder 89 |
| 2 | 133 ÷ 89 = 1 remainder 44 |
| 3 | 89 ÷ 44 = 2 remainder 1 |
| 4 | 44 ÷ 1 = 44 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 156 | 156 |
| 170 and 56 | 4760 |
| 142 and 26 | 1846 |
| 152 and 116 | 4408 |
| 134 and 91 | 12194 |