Least Common Multiple (LCM) of 141 and 85
The least common multiple (LCM) of 141 and 85 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 141 and 85?
First, calculate the GCD of 141 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 85 = 1 remainder 56 |
| 2 | 85 ÷ 56 = 1 remainder 29 |
| 3 | 56 ÷ 29 = 1 remainder 27 |
| 4 | 29 ÷ 27 = 1 remainder 2 |
| 5 | 27 ÷ 2 = 13 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 199 | 25273 |
| 30 and 66 | 330 |
| 115 and 77 | 8855 |
| 166 and 150 | 12450 |
| 185 and 171 | 31635 |