Least Common Multiple (LCM) of 85 and 141
The least common multiple (LCM) of 85 and 141 is 11985.
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 85 and 141?
First, calculate the GCD of 85 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 85 ÷ 141 = 0 remainder 85 |
| 2 | 141 ÷ 85 = 1 remainder 56 |
| 3 | 85 ÷ 56 = 1 remainder 29 |
| 4 | 56 ÷ 29 = 1 remainder 27 |
| 5 | 29 ÷ 27 = 1 remainder 2 |
| 6 | 27 ÷ 2 = 13 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 83 and 45 | 3735 |
| 140 and 172 | 6020 |
| 144 and 89 | 12816 |
| 23 and 127 | 2921 |
| 152 and 17 | 2584 |