Least Common Multiple (LCM) of 146 and 85
The least common multiple (LCM) of 146 and 85 is 12410.
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 85?
First, calculate the GCD of 146 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 85 = 1 remainder 61 |
| 2 | 85 ÷ 61 = 1 remainder 24 |
| 3 | 61 ÷ 24 = 2 remainder 13 |
| 4 | 24 ÷ 13 = 1 remainder 11 |
| 5 | 13 ÷ 11 = 1 remainder 2 |
| 6 | 11 ÷ 2 = 5 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 77 | 231 |
| 70 and 139 | 9730 |
| 44 and 65 | 2860 |
| 129 and 145 | 18705 |
| 51 and 103 | 5253 |