Least Common Multiple (LCM) of 84 and 141
The least common multiple (LCM) of 84 and 141 is 3948.
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 84 and 141?
First, calculate the GCD of 84 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 84 ÷ 141 = 0 remainder 84 |
| 2 | 141 ÷ 84 = 1 remainder 57 |
| 3 | 84 ÷ 57 = 1 remainder 27 |
| 4 | 57 ÷ 27 = 2 remainder 3 |
| 5 | 27 ÷ 3 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 195 | 11895 |
| 23 and 20 | 460 |
| 183 and 165 | 10065 |
| 43 and 107 | 4601 |
| 127 and 115 | 14605 |