Least Common Multiple (LCM) of 46 and 85
The least common multiple (LCM) of 46 and 85 is 3910.
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 46 and 85?
First, calculate the GCD of 46 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 46 ÷ 85 = 0 remainder 46 |
| 2 | 85 ÷ 46 = 1 remainder 39 |
| 3 | 46 ÷ 39 = 1 remainder 7 |
| 4 | 39 ÷ 7 = 5 remainder 4 |
| 5 | 7 ÷ 4 = 1 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 59 and 145 | 8555 |
| 180 and 183 | 10980 |
| 185 and 194 | 35890 |
| 20 and 165 | 660 |
| 119 and 125 | 14875 |