Least Common Multiple (LCM) of 161 and 142
The least common multiple (LCM) of 161 and 142 is 22862.
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 161 and 142?
First, calculate the GCD of 161 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 142 = 1 remainder 19 |
| 2 | 142 ÷ 19 = 7 remainder 9 |
| 3 | 19 ÷ 9 = 2 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 36 | 6084 |
| 177 and 175 | 30975 |
| 24 and 15 | 120 |
| 156 and 45 | 2340 |
| 102 and 170 | 510 |