Least Common Multiple (LCM) of 89 and 134
The least common multiple (LCM) of 89 and 134 is 11926.
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 134?
First, calculate the GCD of 89 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 89 ÷ 134 = 0 remainder 89 |
| 2 | 134 ÷ 89 = 1 remainder 45 |
| 3 | 89 ÷ 45 = 1 remainder 44 |
| 4 | 45 ÷ 44 = 1 remainder 1 |
| 5 | 44 ÷ 1 = 44 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 139 | 25020 |
| 184 and 70 | 6440 |
| 39 and 18 | 234 |
| 13 and 23 | 299 |
| 157 and 111 | 17427 |