Least Common Multiple (LCM) of 146 and 89
The least common multiple (LCM) of 146 and 89 is 12994.
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 146 and 89?
First, calculate the GCD of 146 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 89 = 1 remainder 57 |
| 2 | 89 ÷ 57 = 1 remainder 32 |
| 3 | 57 ÷ 32 = 1 remainder 25 |
| 4 | 32 ÷ 25 = 1 remainder 7 |
| 5 | 25 ÷ 7 = 3 remainder 4 |
| 6 | 7 ÷ 4 = 1 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 153 | 21420 |
| 119 and 17 | 119 |
| 164 and 182 | 14924 |
| 147 and 107 | 15729 |
| 76 and 18 | 684 |