Least Common Multiple (LCM) of 141 and 170
The least common multiple (LCM) of 141 and 170 is 23970.
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 170?
First, calculate the GCD of 141 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 170 = 0 remainder 141 |
| 2 | 170 ÷ 141 = 1 remainder 29 |
| 3 | 141 ÷ 29 = 4 remainder 25 |
| 4 | 29 ÷ 25 = 1 remainder 4 |
| 5 | 25 ÷ 4 = 6 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 74 and 93 | 6882 |
| 74 and 108 | 3996 |
| 162 and 164 | 13284 |
| 20 and 144 | 720 |
| 159 and 62 | 9858 |